tag:blogger.com,1999:blog-81206317365895388222024-03-14T02:34:01.090+07:00ANIN TIAR BLOGAnin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.comBlogger97125tag:blogger.com,1999:blog-8120631736589538822.post-14304232662084036402020-03-29T23:37:00.001+07:002020-03-29T23:37:36.487+07:00Matematika kelas XI - Transformasi Geometri<iframe allowfullscreen="" frameborder="0" height="270" src="https://www.youtube.com/embed/aVqoMTZUrBA" width="480"></iframe>Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-64522178497110345162020-03-19T11:08:00.001+07:002020-03-31T13:37:57.790+07:00Tugas Transformasi Geometri Kelas XI<div dir="ltr" style="text-align: left;" trbidi="on">
Assalamualaikum Warahamatullahi Wabarakatuh<br />
<div>
<br /></div>
<div>
Selamat pagi teman-temanku semua kelas XI khususnya siswa SMK Diponegoro Karanganyar tercinta. Dikarenakan adanya virus korono yang menyerang dunia sehingga pemerintah memberikan perauran untuk siswa belajar dirumah maka pembelajaran pada hari ini akan dilakukan melalui sistem oline. Sebelum masuk ke pembelajaran ada hal-hal yang perlu teman-teman ikuti salah satunya adalah sebagai berikut:</div>
<div>
1. Pelajari Materi secara urut</div>
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2. Harus memiliki akun email dan WA</div>
<div>
3. Kerjakan tugas sesuai deadline tanggal</div>
<div>
<br /></div>
<div>
Berikut urutan materi yang perlu di pelajari</div>
<div>
1. <a href="https://anintiar.blogspot.com/2020/03/transformasi-geometri-translasi.html" target="_blank">Transformasi Geometri -Translasi </a></div>
<div>
2 <a href="https://anintiar.blogspot.com/2020/03/transformasi-geometri-refleksi.html" target="_blank">Transformasi Geometri -Refleksi</a></div>
<div>
3. <a href="https://anintiar.blogspot.com/2020/03/transformasi-geometri-rotasi.html" target="_blank">Transformasi Geometri - Rotasi</a></div>
<div>
4. <a href="https://anintiar.blogspot.com/2020/03/transformasi-geometri-dilatasi.html" target="_blank">Transformasi Geometri - Dilatasi</a></div>
<div>
<br /></div>
<div>
Silahkan dipelajari dengan baik ya teman-teman.<br />
<br />
Setelah selesai mempelajari silahkan kerjakan tugas sesuai tanggal deadlinenya.</div>
<div>
1. <a href="http://bit.ly/tugas_mtk_1" target="_blank">Tugas 1 deadline penyelesaian tanggal 3 April 2020</a></div>
<div>
2. <a href="http://bit.ly/tugas_mtk_2" target="_blank">Tugas 2 deadline penyelesaian tanggal 5 April 2020</a></div>
<div>
3.<a href="http://bit.ly/tugas_mtk_3" target="_blank"> tugas 3 dedaline penyelesaian tanggal 13 April 2020</a></div>
<div>
<br /></div>
<div>
Selamat belajar. Salam pelajar hebat.</div>
<div>
Wassalamualaikum Warahmatullahi Wabarakatuh.</div>
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<br /></div>
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<br /></div>
</div>
Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-33808769960513711712020-03-19T10:42:00.001+07:002020-03-19T10:42:12.221+07:00Transformasi Geometri -Dilatasi<div dir="ltr" style="text-align: left;" trbidi="on">
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<div class="MsoNormal">
<iframe allow="accelerometer; autoplay; encrypted-media;
gyroscope; picture-in-picture" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/OtzluC8qPds" width="560"></iframe></div>
<br /></div>
Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-40699065921046550512020-03-19T10:38:00.000+07:002020-03-19T10:38:02.414+07:00Transformasi Geometri - Rotasi<div dir="ltr" style="text-align: left;" trbidi="on">
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<div class="MsoNormal">
<iframe allow="accelerometer; autoplay; encrypted-media;
gyroscope; picture-in-picture" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/_yeNs4O3M3M" width="560"></iframe></div>
<br /></div>
Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-73709911942305309642020-03-19T10:22:00.003+07:002020-03-19T10:22:48.339+07:00Transformasi Geometri-Refleksi<div dir="ltr" style="text-align: left;" trbidi="on">
<br />
<div class="MsoNormal">
<iframe allow="accelerometer; autoplay; encrypted-media;
gyroscope; picture-in-picture" allowfullscreen="" frameborder="0" height="315" src="https://www.youtube.com/embed/AShoZP8ZYO4" width="560"></iframe></div>
<br /></div>
Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-74260838659451608802020-03-19T09:44:00.001+07:002020-03-29T23:45:30.158+07:00Transformasi Geometri - Translasi<div dir="ltr" style="text-align: left;" trbidi="on">
<iframe allowfullscreen="" frameborder="0" height="270" src="https://www.youtube.com/embed/k_RGlS9uLMQ?clip=&clipt=EAAYAA%3D%3D" width="480"></iframe></div>
Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-63246525690265862732018-05-08T10:58:00.003+07:002018-05-08T11:20:23.775+07:00Pola, Barisan dan Deret Bilangan<iframe src="https://www.slideserve.com/embed/5624397" width="600" height="485" frameborder="0" marginwidth="0" marginheight="0" scrolling="no" style="border:1px solid #CCC;border-width:1px 1px 0;margin-bottom:5px" allowfullscreen webkitallowfullscreen mozallowfullscreen> </iframe>Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-48081303047132618552017-11-27T22:29:00.000+07:002017-11-27T22:29:18.960+07:00Tugas Individu 1 <div dir="ltr" style="text-align: left;" trbidi="on">
<div style="text-align: left;">
<br /></div>
1. Tuliskan lima suku berikutnya dari pola bilangan berikut<br />
a. 1, 4, 9, . . .<br />
b. 1, 8, 27, . . .<br />
c. 7, 12, 17, . . .<br />
d. 3, 8, 15, . . . <span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-language: AR-SA; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span><span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"></span> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-language: AR-SA; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: major-bidi;"></span><br />
<div class="separator" style="clear: both; text-align: left;">
e. <img border="0" data-original-height="35" data-original-width="72" src="https://4.bp.blogspot.com/-ja71Aee1GhY/WhJ2Ww8VtNI/AAAAAAAAB7g/PMMzMbn97UQd96zcNFP5cLVEbh9H8H0lwCPcBGAYYCw/s1600/ls3.jpg" /></div>
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-language: AR-SA; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: major-bidi;"><span style="mso-text-raise: -12.0pt; position: relative; top: 12.0pt;"></span></span><br /><br />
2. Tentukan lima suku pertama bilangan berikut<br />
a. <!--[if gte mso 9]><xml>
<o:OfficeDocumentSettings>
<o:RelyOnVML/>
<o:AllowPNG/>
</o:OfficeDocumentSettings>
</xml><![endif]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-language: AR-SA; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: major-bidi;">U<sub>n</sub>=n<sup>2</sup>-2n</span><br />
<!--[if gte mso 9]><xml>
<o:OfficeDocumentSettings>
<o:RelyOnVML/>
<o:AllowPNG/>
</o:OfficeDocumentSettings>
</xml><![endif]--><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-language: AR-SA; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: major-bidi;"> b. U<sub>n</sub>=n<sup>3</sup>-2n<sup>2</sup>+5</span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi; mso-text-raise: -6.0pt; position: relative; top: 6.0pt;"> </span><br />
<div class="separator" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: center;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi; mso-text-raise: -6.0pt; position: relative; top: 6.0pt;"> c.</span> <img border="0" data-original-height="35" data-original-width="70" src="https://1.bp.blogspot.com/-6lYE4XgGz3E/WhJ4xgDHk6I/AAAAAAAAB74/WNOnyu-CtzQgqtVCwSHIDOTTIIZK1A22QCPcBGAYYCw/s1600/ls4.jpg" /></div>
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"></span></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"></span></span><br />
<br />
<div class="separator" style="clear: both; text-align: left;">
d. <img border="0" data-original-height="35" data-original-width="70" src="https://3.bp.blogspot.com/-mvG302pporM/WhJ4xwCAa9I/AAAAAAAAB74/YnPjXFrXODMAuimlF8w1oUH5wXDd49nlQCPcBGAYYCw/s1600/ls5.jpg" /> </div>
<div class="separator" style="clear: both; text-align: left;">
<br /></div>
<div class="separator" style="clear: both; text-align: left;">
3. Jumlah bilangan dari notasi sigma berikut </div>
<div class="separator" style="clear: both; text-align: left;">
a.<a href="https://4.bp.blogspot.com/-16AQLO0Dx2E/WhJ4zMHC_KI/AAAAAAAAB74/ozjXoMswOU0hQhvrf-DtuhajeG0M_wuAQCPcBGAYYCw/s1600/ls7.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="38" data-original-width="60" src="https://4.bp.blogspot.com/-16AQLO0Dx2E/WhJ4zMHC_KI/AAAAAAAAB74/ozjXoMswOU0hQhvrf-DtuhajeG0M_wuAQCPcBGAYYCw/s1600/ls7.jpg" /></a></div>
<div style="text-align: left;">
<br /></div>
<div class="separator" style="clear: both; text-align: left;">
b. <img border="0" data-original-height="38" data-original-width="114" src="https://3.bp.blogspot.com/-EeqVGfMRPyk/WhJ578LcrBI/AAAAAAAAB8E/XPsttsbYvkwUb_EgegWiKXM06bwwggWyQCPcBGAYYCw/s1600/ls8.jpg" /></div>
<div style="text-align: left;">
<br /></div>
<div class="separator" style="clear: both; text-align: left;">
c. <img border="0" data-original-height="40" data-original-width="60" src="https://1.bp.blogspot.com/-zFTQB19szIs/WhJ4x4_udEI/AAAAAAAAB74/cR6M_32_R1EQe2N--44DkhjbS3Q-psPAACPcBGAYYCw/s1600/ls6.jpg" /></div>
<br />
4. Nyatakan penjumlahan berikut dalam notasi sigma<br />
a. 22-4+8-16+32-64<br />
b. 1+2+<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-language: AR-SA; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: major-bidi;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-language: AR-SA; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: major-bidi;">2<sup>2</sup></span> <complete id="goog_1174261454">+ </complete></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-language: AR-SA; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: major-bidi;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-language: AR-SA; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: major-bidi;">2<sup>3</sup></span> <complete id="goog_1174261457">+...+</complete></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-language: AR-SA; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: major-bidi;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-ascii-theme-font: major-bidi; mso-bidi-language: AR-SA; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: major-bidi;">2<sup>20</sup></span> </span><br />
<br />
<br />
<br />
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span></span>
</div>
Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-74396851216024521562017-11-27T20:51:00.000+07:002017-11-27T22:01:55.817+07:00Tugas Kelompok Pola Bilangan dan Notasi Sigma<div dir="ltr" style="text-align: left;" trbidi="on">
<b>Tugas Kelompok :</b><br />
1. Tuliskan lima suku pertama barisan berikut:<br />
a. <span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">U<sub><span style="font-family: "times new roman" , "serif";">n</span></sub></span></span></span></b></span> = 3n - 1<br />
<div class="separator" style="clear: both; text-align: left;">
b. <span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">U<sub><span style="font-family: "times new roman" , "serif";">n = </span></sub></span></span></span></b></span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">n<sup>2 </sup></span> </div>
<div class="separator" style="clear: both; text-align: left;">
c. <a href="https://4.bp.blogspot.com/-K6Qcw2t1AKU/WhJydUVE4iI/AAAAAAAAB7A/KFWm4y_WzaEku4eIlfAXj6omrkfaJrOwACLcBGAs/s1600/ls1.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="41" data-original-width="120" src="https://4.bp.blogspot.com/-K6Qcw2t1AKU/WhJydUVE4iI/AAAAAAAAB7A/KFWm4y_WzaEku4eIlfAXj6omrkfaJrOwACLcBGAs/s1600/ls1.jpg" /></a></div>
2. Tuliskan tiga suku berikutnya dari barisan berikut:<br />
a. 1, 5, 9, . . .<br />
b. 4, 16, 36, . . .<br />
c. 4, 2, 0, -2, 2, . . .<br />
3. Nyatakan penjumlahan berikut dalam notasi sigma<br />
a. 1+3+5+7+ . . . + 25<br />
b. 2+ 4+6+8+ . . . + 50<br />
c. 1+ 4+9+ . . . + 81<br />
<div class="separator" style="clear: both; text-align: left;">
4. Tentukan hasil penjumlahan </div>
<div class="separator" style="clear: both; text-align: left;">
<a href="https://3.bp.blogspot.com/-dr_WLJBBHxo/WhJ0MBE0wNI/AAAAAAAAB7M/uSSSIWwqv8M5VCkJaBZz5XGjC6609CfsQCLcBGAs/s1600/ls2.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="38" data-original-width="114" src="https://3.bp.blogspot.com/-dr_WLJBBHxo/WhJ0MBE0wNI/AAAAAAAAB7M/uSSSIWwqv8M5VCkJaBZz5XGjC6609CfsQCLcBGAs/s1600/ls2.jpg" /> </a></div>
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<br /></div>
<div class="separator" style="clear: both; text-align: left;">
Setelah
selesai mengerjakan, ayo cek bersama jawabanya, mintaklah Qr-Code pada guru untuk mengecek jawabanmu.</div>
</div>
Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-80754374395545949432017-11-27T12:45:00.001+07:002017-11-27T12:45:55.625+07:00Barisan dan Deret Aritmatika<div dir="ltr" style="text-align: left;" trbidi="on">
<!--[if gte mso 9]><xml>
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<w:Zoom>0</w:Zoom>
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<b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span></b><span dir="LTR"></span><b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Barisan
Aritmatika</span></b></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Barisan artimatika adalah barisan
bilangan yang suku-sukunya mempunyai selisih atau beda yang tetap. </span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Contoh:</span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">(i)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-spacerun: yes;"> </span>2, 4, 6, 8, . . .</span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">(ii)<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">3, 2, 1, 0, . .
.</span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Amati barisan diatas, barisan tersebut memiliki beda
yang tetap yaitu:</span></div>
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<a href="https://4.bp.blogspot.com/-CtBHTtnHn8U/WhpfhV5TUDI/AAAAAAAAB8g/48hr61QvFnsEfckNdPsShHRIyqLiqlaKgCLcBGAs/s1600/%252B%2B2%2Bgenap.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="60" data-original-width="171" src="https://4.bp.blogspot.com/-CtBHTtnHn8U/WhpfhV5TUDI/AAAAAAAAB8g/48hr61QvFnsEfckNdPsShHRIyqLiqlaKgCLcBGAs/s1600/%252B%2B2%2Bgenap.jpg" /></a></div>
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<![endif]--><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Pada barisan arimatika , selisih
atau beda disimbolkan dengan b, dan suku pertama </span></div>
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mso-tstyle-rowband-size:0;
mso-tstyle-colband-size:0;
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mso-style-priority:99;
mso-style-qformat:yes;
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<![endif]--><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">dimana b=U<sub>n</sub>-U<sub>n-1</sub></span>
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-text-raise: -6.0pt; position: relative; top: 6.0pt;"></span>, dengan b sebuah konstanta yang tidak bergantung pada
n.</span></div>
<div class="separator" style="clear: both; text-align: center;">
<a href="https://2.bp.blogspot.com/-L8WgbTqDFXQ/Whpg5jVnvdI/AAAAAAAAB80/XjpxZk4OmzMARJCKKoGQRu3c239boMhXQCLcBGAs/s1600/ar2.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="234" data-original-width="255" src="https://2.bp.blogspot.com/-L8WgbTqDFXQ/Whpg5jVnvdI/AAAAAAAAB80/XjpxZk4OmzMARJCKKoGQRu3c239boMhXQCLcBGAs/s1600/ar2.jpg" /></a></div>
<div class="separator" style="clear: both; text-align: center;">
</div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Maka pada barisan bilangan (i)
diperoleh rumus suku ke-n sebagai berikut:</span></div>
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<b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Contoh:</span></b></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Tentukan suku pertama, beda dan suku ke delapan paa
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<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%; position: relative; top: 6.0pt;">97 = 3 + (n-1) 2</span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%; position: relative; top: 6.0pt;"></span></div>
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<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%; position: relative; top: 6.0pt;">94 = (n – 1) 2</span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%; position: relative; top: 6.0pt;"></span></div>
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<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%; position: relative; top: 6.0pt;">47 = n – 1</span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%; position: relative; top: 6.0pt;"></span></div>
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<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%; position: relative; top: 6.0pt;">n = 48</span></div>
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<br />
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<b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span></b><span dir="LTR"></span><b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Deret
Aritmatika</span></b></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Perhatikan contoh barisan
aritmatika di atas pada (i) Maka dapat dituliskan menjadi </span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"> </span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-spacerun: yes;"></span>2 + 4 + 6 + 8, . . .</span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Deret tersebut disebut deret aritmatika karena
memiliki beda yang tetap. Deret diatas merupakan jumlah 4 suku pertama,
disimbolkan dengan S<sub>4</sub>. Sedangkan untuk jumlah n suku pertama dari
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</span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><a href="https://3.bp.blogspot.com/-bWuPo39TMco/WhpkBW7lmGI/AAAAAAAAB9A/rdDWEoR7XkgsDBTrOQIecIB9lNa0-cxmACLcBGAs/s1600/sn.jpg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="470" data-original-width="662" height="283" src="https://3.bp.blogspot.com/-bWuPo39TMco/WhpkBW7lmGI/AAAAAAAAB9A/rdDWEoR7XkgsDBTrOQIecIB9lNa0-cxmACLcBGAs/s400/sn.jpg" width="400" /></a></span></div>
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<br /></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Dengan <span style="mso-tab-count: 1;"> </span>S<sub>n </sub>: Jumlah n suku pertma</span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 2;"> </span>U<sub>n
</sub>: Suku ke-n</span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 2;"> </span>a<span style="mso-spacerun: yes;"> </span>: suku pertama</span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 2;"> </span>b<span style="mso-spacerun: yes;"> </span>: beda</span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 2;"> </span>n<span style="mso-spacerun: yes;"> </span>: banyak suku</span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">untuk setiap n berlaku : U<sub>n </sub>=S<sub>n</sub>
– S<sub>n-1</sub> </span></div>
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<b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Contoh : </span></b></div>
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<br /></div>
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</span></b></div>
<div class="MsoListParagraphCxSpFirst" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 42.55pt; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; text-align: justify;">
<b><b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Contoh:</span></b><b><span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"></span></b></b></div>
<b>
</b><br />
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 60.55pt; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; mso-list: l0 level1 lfo1; text-align: justify; text-indent: -18.0pt;">
<b><span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Gaji seorang karyawan setiap bulan dinaikkan sebesar Rp.
50.000,-. Jika gaji pertama karyawan tersebut Rp. 1.000.000,- tentukan jumlah
gaji selama satu tahun pertama !</span></b></div>
<b>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 60.55pt; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; text-align: justify;">
<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Jawab
:</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 60.55pt; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; text-align: justify;">
<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">a
= 1.000.000</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 60.55pt; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; text-align: justify;">
<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">b
= 50.000</span></div>
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<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">n
= 1 tahun = 12 bulan</span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%; position: relative; top: 12.0pt;"><br /></span><span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%; position: relative; top: 12.0pt;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 60.55pt; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; text-align: justify;">
<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">S<sub>12</sub>
= </span><span style="mso-text-raise: -9.0pt; position: relative; top: 9.0pt;"></span><span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-spacerun: yes;"> </span>(2 (1.000.000) +
(12 – 1) 50.000)</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 60.55pt; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; text-align: justify;">
<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span>= 6
(2.000.000 + 550.000)</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 60.55pt; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; text-align: justify;">
<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span>= 6
x 2.550.000</span></div>
<div class="MsoListParagraphCxSpMiddle" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 60.55pt; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; text-align: justify;">
<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-tab-count: 1;"> </span><span style="mso-spacerun: yes;"> </span>=
15.300.000</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 60.55pt; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; text-align: justify;">
<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Jadi,
jumlah gaji karyawan tersebut selama setahun adalah Rp. 15.300.000,-</span></div>
</b><br />
<br />
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"></span><br />
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"></span></div>
<br />
<br />
<br />
<br />
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 2.0cm; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"> </span>
</div>
</div>
Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-58899472644427787432017-11-26T15:10:00.000+07:002017-11-27T12:42:39.170+07:00Barisan dan Deret Geometri<div dir="ltr" style="text-align: left;" trbidi="on">
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<b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span></b><span dir="LTR"></span><b><span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Barisan</span></b><b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"> Geometri</span></b></div>
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<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Perhatikan contoh
barisan bilangan di bawah ini:</span></div>
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<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">i. 2, 4, 8, 32, . . .</span></div>
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<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">ii.<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 115%;"> 4, 12,
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 115%;">Kedua barisan tersebut terlihat berubah secara tetap dengan mengalikan 2 pada i dan 3 pada ii untuk tiap suku-sukunya. Jadi barisan geometri adalah suatu barisan bilangan yag setiap suku berikutnya diperoleh dengan mengalikan suatu bilangan yang besarnya tetap. </span>Hasil bagi dua suku yang berurutan</span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"> </span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">disebut rasio (r)</span><span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">. Apabila diketahui barisan bilangan:</span></div>
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<![endif]--><span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 115%;">Pada
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tetap. Secara umum didapa </span></span></span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%; position: relative; top: 6.0pt;">Dengan<span style="mso-tab-count: 1;"> </span>U<sub>n
</sub>: Suku ke-n</span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%; position: relative; top: 6.0pt;"><span style="mso-tab-count: 2;"> </span>a<span style="mso-spacerun: yes;"> </span>: Suku pertama (U<sub>1</sub>)</span></div>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%; position: relative; top: 6.0pt;"><span style="mso-tab-count: 2;"> </span>r<span style="mso-spacerun: yes;"> </span>: rasio antara dua suku yang berurutan</span></div>
<div class="MsoListParagraphCxSpLast" style="line-height: 150%; margin-bottom: .0001pt; margin-bottom: 0cm; margin-left: 39.3pt; margin-right: 0cm; margin-top: 0cm; mso-add-space: auto; text-align: justify;">
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%; position: relative; top: 6.0pt;"><span style="mso-tab-count: 2;"> </span>n<span style="mso-spacerun: yes;"> </span>: banyaknya suku</span></div>
<br />
<br />
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<br /></div>
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<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"> <b>Contoh:</b></span><br />
<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">1. Diketahui barisan geometri <span style="font-family: "times new roman" , "serif";">2, 4, 8, 16, . . . </span></span><br />
<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";">Tentukan suku pertama<span style="font-family: "times new roman" , "serif";">, rasio, rumus<span style="font-family: "times new roman" , "serif";"> suku ke-n, dan suku ke-7.</span></span></span></span><br />
<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><b><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";"> Pembahasan : </span></span></b></span></span><br />
<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";">Suku pe<span style="font-family: "times new roman" , "serif";">rtama</span> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ansi-language: EN-US; mso-bidi-language: AR-SA; mso-fareast-font-family: "Times New Roman"; mso-fareast-language: EN-US;">U<sub>1</sub></span></span><b><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";"> = a = 2</span></span></span></b></span></span><br />
<div class="separator" style="clear: both; text-align: center;">
<a href="https://2.bp.blogspot.com/-sVNqv3M4KIQ/WhuiZIFoDcI/AAAAAAAAB_E/qsKsrdh_-KIQbI6qrR6LYzydvAOB7FMkQCLcBGAs/s1600/der%2B1.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="63" data-original-width="298" height="42" src="https://2.bp.blogspot.com/-sVNqv3M4KIQ/WhuiZIFoDcI/AAAAAAAAB_E/qsKsrdh_-KIQbI6qrR6LYzydvAOB7FMkQCLcBGAs/s200/der%2B1.jpg" width="200" /></a></div>
<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><b><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";"> </span> </span></span></b></span></span><br />
<span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"> </span><b><br /></b></span></div>
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</b></span></div>
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Rumus suku ke-n<br />
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Suku ke - 7 <br />
S7=<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"> n<sup>2</sup></span><b><b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;"> </span></span></b></b><br />
<b><b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;"> = </span></span></b></b><b><b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;"><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";">2</span><sup>7</sup></span>=12<span style="font-family: "times new roman" , "serif";">8</span></span></span></b></b><br />
<br />
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<b><b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span></b><span dir="LTR"></span><b><span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 100%;">Deret Geometri</span></b><b><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"></span></b></b></div>
<b>
</b>
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Penjumlahan suku-suku dari barisan
geometri yang berurutan disebut deret geometri. Seperti pada deret</span><span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"> aritmatika</span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">, deret geometri ju</span><span lang="IN" style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">g</span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">a dinyatakan dengan S<sub>n, </sub>yaitu</span></div>
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<a href="https://1.bp.blogspot.com/-gdUWbiVUb4g/WhpuLhpsMHI/AAAAAAAAB9s/6TTsHlsUhukNRQQFTF4s2dJhZYwqiR5AgCLcBGAs/s1600/geo4.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="587" data-original-width="723" height="259" src="https://1.bp.blogspot.com/-gdUWbiVUb4g/WhpuLhpsMHI/AAAAAAAAB9s/6TTsHlsUhukNRQQFTF4s2dJhZYwqiR5AgCLcBGAs/s320/geo4.jpg" width="320" /></a></div>
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Sehingga untuk r < 1, berlaku :</div>
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<a href="https://2.bp.blogspot.com/-M36vkYhg75c/Wht7AC277gI/AAAAAAAAB-E/5R-6vsaqRhU7pXYk3nieSox68FcvrXA_gCLcBGAs/s1600/geo5.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="135" data-original-width="379" height="113" src="https://2.bp.blogspot.com/-M36vkYhg75c/Wht7AC277gI/AAAAAAAAB-E/5R-6vsaqRhU7pXYk3nieSox68FcvrXA_gCLcBGAs/s320/geo5.jpg" width="320" /> </a></div>
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atau r >1, berlaku :</div>
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<a href="https://4.bp.blogspot.com/-_KszJX8GqEs/WhuSjgvQ2bI/AAAAAAAAB-U/ggRpoKHu0Nse7_TS_r8lUNmyzwQj0s2CgCLcBGAs/s1600/geo3.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="62" data-original-width="154" src="https://4.bp.blogspot.com/-_KszJX8GqEs/WhuSjgvQ2bI/AAAAAAAAB-U/ggRpoKHu0Nse7_TS_r8lUNmyzwQj0s2CgCLcBGAs/s1600/geo3.jpg" /></a></div>
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dimana S<sub>n : </sub>Jumlah n suku pertama</div>
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<br /></div>
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Contoh:</div>
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Tenteukan rasio, suku ke-10 dan jumlah suku pertama dari deret geometri 3+6+12+24+...</div>
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<b>Pembahasan :</b></div>
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<br /></div>
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<b><a href="https://4.bp.blogspot.com/-dsWUJ7J10I0/Whudc1oS20I/AAAAAAAAB-4/oXpJw0Vc0L8kEhJmU4D7PqelvrtQOEapACLcBGAs/s1600/geder.jpg" imageanchor="1" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="777" data-original-width="513" height="400" src="https://4.bp.blogspot.com/-dsWUJ7J10I0/Whudc1oS20I/AAAAAAAAB-4/oXpJw0Vc0L8kEhJmU4D7PqelvrtQOEapACLcBGAs/s400/geder.jpg" width="263" /></a></b></div>
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Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-25142860707783325042017-11-26T13:11:00.000+07:002017-11-26T13:11:10.896+07:00POLA BILANGAN<div dir="ltr" style="text-align: left;" trbidi="on">
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<style>
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table.MsoNormalTable
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<br />
<br />
<br />
<div class="MsoListParagraphCxSpMiddle" style="mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Pola bilangan</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"> sendiri memiliki <b>arti</b> suatu susunan
bilangan yang memiliki bentuk teratur atau suatu bilangan yang tersusun dari
beberapa bilangan lain yang membentuk suatu pola . Dan pola bilanga juga
memiliki banyak jenisnya atau macamnya . </span></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Macam – macam Pola Bilangan</span></b></div>
<div class="MsoListParagraphCxSpMiddle" style="mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Macam – macam pola bilngan meliputi beberapa
jenis berikut ini :</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l5 level1 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">1.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;">Pola Bilangan Ganjil </span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-hansi-theme-font: major-bidi;"></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Poal bilangan ganjil yaitu pola bilangan yang terbentuk dari
bilangan – bilangan ganjil. Sedangkan pengertian dari bilangan ganjil sendiri
memiliki arti suatu bilangan asli yang tidak habis dibagi dua ataupun
kelipatannya.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l1 level1 lfo4; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Pola
bilangan ganjil</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l1 level1 lfo4; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Barisan
bilangan ganjil adalah 1,3, 5, 7, 9, …</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l1 level1 lfo4; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">c.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Rumus
mencari suku ke ke-n adalah Un = 2n – 1</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Berikut adalah gambar pola dari bilangan ganjil </span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><img alt="Pola bilangan ganjil" border="0" src="https://3.bp.blogspot.com/-0BhM08ls12A/VrYfAXX_mXI/AAAAAAAAD4o/mfynngNaYZo/s1600/pola-ganjil.jpg" title="Pola bilangan ganjil" /> </span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l5 level1 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">2.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Pola
bilangan genap</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Poal bilangan genap yaitu pola bilangan yang terbentuk dari
bilangan – bilangan genap. Sedangkan pengertian dari bilangan genap sendiri
memiliki arti suatu bilangan asli yang habis dibagi dua ataupun kelipatannya.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l0 level1 lfo5; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Barisan
bilangan genap adalah 2, 4, 6, 8, 10, …. </span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l0 level1 lfo5; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Rumus
untuk mencari suku ke-n adalah Un = 2n</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l0 level1 lfo5; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l0 level1 lfo5; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;"><span style="font: 7.0pt "Times New Roman";"> </span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Gambar
pola bilangan genap adalah sebagai berikut</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l0 level1 lfo5; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><img alt="pola, barisan, deret bilangan genap" border="0" src="https://1.bp.blogspot.com/-h74DC2eFhq4/VrYn3h6wTTI/AAAAAAAAD5c/TAls5MI5leI/s1600/pola-genap.jpg" title="Pola bilangan genap" /> </span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l5 level1 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">3.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Pola
bilangan segitiga pascal</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l5 level2 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Rumus
mencari jumlah baris ke-n adalah 2n – 1</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-spacerun: yes;"> </span>Gambar pola bilangan
segitiga pascal adalah sebagai berikut </span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><img alt="Fakta dan keajaiban tentang pola bilangan segitiga Pascal" border="0" src="https://2.bp.blogspot.com/-HlCg6T2bsUE/VracVJLF_lI/AAAAAAAAD7g/3ZoBx-577bI/s1600/pola-pascal2.jpg" title="Fakta tentang pola bilangan segitiga Pascal" /> </span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l5 level1 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">4.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Pola
bilangan segitiga</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l5 level2 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Barisan
bilangan segitiga adalah 1, 3, 6, 10, 15, 21, …..</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l5 level2 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Rumus
mencari suku ke-n adalah Un = ½ n (n + 1 )</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Gambar pola bilangan segitiga adalah sebagai berikut</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<img alt="Pengertian Pola Bilangan Matematika" border="0" height="118" src="https://4.bp.blogspot.com/-7819D3npPRk/VgtB0PoP-3I/AAAAAAAAIoc/umk8vhFwDlQ/s320/pola%2Bbilangan%2Bsegitiga.png" title="Pengertian Pola Bilangan Matematika" width="320" /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l5 level1 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">5.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Pola
bilangan persegi</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l2 level1 lfo6; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Barisan
bilangan persegi adalah 1, 4, 9, 16, 25, …..</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l2 level1 lfo6; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Rumus
mencari suku ke-n adalah Un = n2</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Gambar pola bilangan persegi adalah sebagai berikut</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><br /></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /><img alt="Pengertian Pola Bilangan Matematika" border="0" height="136" src="https://2.bp.blogspot.com/-2iNVb5zmW3Y/VgtB0LbI-hI/AAAAAAAAIok/55ZTMGe937I/s320/pola%2Bbilangan%2Bpersegi.png" title="Pengertian Pola Bilangan Matematika" width="320" /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l5 level1 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">6.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Pola
bilangan persegi panjang</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l4 level1 lfo7; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Barisan
bilangan persegi panjang adalah 2, 6, 12, 20, 30, ……</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l4 level1 lfo7; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Rumus
mencari suku ke-n adalah Un = n ( n + 1 )</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Gambar pola bilangan persegi panjang adalah sebagai berikut </span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><img alt="Pengertian Pola Bilangan Matematika" border="0" height="110" src="https://4.bp.blogspot.com/-kOtdM8JNUR8/VgtB0LxJNTI/AAAAAAAAIos/eNGWnu6KPkQ/s320/pola%2Bbilangan%2Bpersegi%2Bpanjang.png" title="Pengertian Pola Bilangan Matematika" width="320" /> </span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l5 level1 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">7.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Pola
bilangan Fibonacci</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Pola bilangan fibanocci adalah pola bilangan dimana jumlah bilangan
setelahnya merupakan hasil dari penjumlahan dari dua bilangan sebelumnya.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l6 level1 lfo3; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><a href="http://artikelmateri.blogspot.co.id/2015/12/jenis-macam-pola-bilangan-adalah-rumus.html"><span style="color: windowtext; text-decoration: none; text-underline: none;">Pola bilangan</span></a>
Fibonacci adalah 1, 1, 2, 3, 5, 8, 13, 21, 34, …..</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l6 level1 lfo3; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-align: justify; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">2
diperoleh dari hasil 1 + 1 3 diperoleh dari hasil 2 + 1, 5 diperoleh dari hasil
3 + 2 dan seterusnya</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l6 level1 lfo3; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">c.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Rumus
mencari suku ke-n adalah Un = Un – 1 + Un – 2 </span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l6 level1 lfo3; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-indent: -18.0pt;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l6 level1 lfo3; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Gambar bilangan fibonic </span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l6 level1 lfo3; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-indent: -18.0pt;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-list: l6 level1 lfo3; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><img height="212" src="https://id-static.z-dn.net/files/de5/866eb7b872ae05a5cce4d0ad06bc1c67.jpg" title="Lampiran" width="320" /> </span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 70.9pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l5 level1 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">8.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Pola
bilangan pangkat tiga</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><a href="http://artikelmateri.blogspot.co.id/2015/12/jenis-macam-pola-bilangan-adalah-rumus.html"><span style="color: windowtext; text-decoration: none; text-underline: none;">Pola bilangan</span></a>
pangkat tiga adalah pola bilangan dimana bilangan setelahnya merupakan hasil
dari pangkat tiga dari bilangan sebelumnya</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Contoh
pola bilangan pangkat tiga adalah 2, 8, 512, 134217728, …..</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Keterangan
: 8 diperoleh dari hasil 2 pangkat tiga, 512 diperoleh dari hasil 8 pangkat
tiga, dan seterusnya</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l5 level1 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">9.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Pola
bilangan aritmatika</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Pola
bilangan aritmatika adalah pola bilangan dimana bilangan sebelum dan sesudahnya
memiliki selisih yang sama.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Contoh
pola bilangan aritmatika adalah 2, 5, 8, 11, 14, 17, ….</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Suku
pertama dalam bilangan aritmatika dapat disebut dengan awal ( a ) atau U1,
sedangkan suku kedua adalah U2 dan seterusnya.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Selisih
dalam barisan aritmatika disebut dengan beda dan dilambangkan dengan b.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Karena
bilangan sebelum dan sesudahnya memiliki selisih yang sama, maka b = U2 - U1 =
U3 – U2 = U4 – U3 = U5 – U4 = U6 – U5 = 3</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Rumus
mencari suku ke-n adalah Un = a + ( n – 1 ) b</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Rumus
mencari jumlah n suku pertama adalah Sn = n/2 ( a + Un ) atau </span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Sn = n/2 (2 a +
( n – 1)b)</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-list: l5 level1 lfo2; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto; text-indent: -18.0pt;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-fareast-font-family: "Times New Roman"; mso-fareast-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"><span style="mso-list: Ignore;">10.<span style="font: 7.0pt "Times New Roman";">
</span></span></span><span dir="LTR"></span><b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Pola
Bilangan Geometri</span></b><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"> </span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Pada
pola bilangan geometri, suatu bilangan merupakan hasil perkalian bilangan
sebelumnya dengan suatu bilangan yang tetap.</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Rumus
suku ke-n >> Un = ar<sup>n-1 </sup></span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Contoh:
</span></div>
<div class="MsoListParagraphCxSpMiddle" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">1,
2, 4, 8, 16, 32, … </span></div>
<div class="MsoListParagraphCxSpLast" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">1,
3, 9, 27, 81, … </span></div>
<div class="MsoListParagraphCxSpLast" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<br /></div>
<div class="MsoListParagraphCxSpLast" style="margin-left: 54.0pt; mso-add-space: auto; mso-margin-bottom-alt: auto; mso-margin-top-alt: auto;">
<span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;"> </span><span style="font-family: "Times New Roman","serif"; font-size: 12.0pt; line-height: 115%; mso-ascii-theme-font: major-bidi; mso-bidi-theme-font: major-bidi; mso-hansi-theme-font: major-bidi;">Latihan <span style="color: red;"><b>KLIK INI</b></span></span></div>
<div class="MsoNormal">
<br /></div>
</div>
Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-38438079619569696852017-11-20T11:26:00.003+07:002017-11-27T21:53:04.218+07:00POLA BILANGAN, BARISAN BILANGAN DAN NOTASI SIGMA<div dir="ltr" style="text-align: left;" trbidi="on">
<b>A. Barisan Bilangan</b><br />
<div class="separator" style="clear: both; text-align: left;">
<a href="https://2.bp.blogspot.com/-14VnnkE7pOA/WhJV3IrUhiI/AAAAAAAAB20/WEoY3chRptQw2LLX1SxGSv823qbns1mBwCEwYBhgL/s1600/def%2Bbarisan.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 115%;">Barisan bilangan</span></b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 115%;"> didefinisikan sebagai susunan bilangan yang memiliki pola atau aturan
tertentu antara satu bilangan dengan bilangan berikutnya.</span></a></div>
<div class="separator" style="clear: both; text-align: center;">
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<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">1,
2, 3, 4, 5,….<span style="mso-list: Ignore;"> barisan bilangan asli</span></span><br />
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"> <span style="font-family: "times new roman" , "serif";">2</span>, <span style="font-family: "times new roman" , "serif";">4</span>, <span style="font-family: "times new roman" , "serif";">6</span>, <span style="font-family: "times new roman" , "serif";">8, 10</span>,….<span style="mso-list: Ignore;"> barisan bilangan genap</span></span><br />
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">c.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";">2, 3, 5, 7, . . . barisan bilangan prima</span></span><br />
<br />
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bilangan. Tiap-tiap bilangan pada barisan
bilangan disebut <b>suku</b> <b>(U)</b></span><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">. </span></b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Yang dinyatakan dengan</span><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"> </span></b><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">U<sub><span style="font-family: "times new roman" , "serif";">1</span></sub></span></span></span></b>, </span></b><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">U<sub><span style="font-family: "times new roman" , "serif";">2</span></sub></span></span></span></b></span></b><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"></span></span></span></b></span></b>, </span></b><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">U<sub><span style="font-family: "times new roman" , "serif";">3</span></sub></span></span></span></b></span></b>, </span></b><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">U<sub><span style="font-family: "times new roman" , "serif";">4</span></sub></span></span></span></b></span></b> <span style="font-family: "times new roman" , "serif";">. . . </span></span></b><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><!--[if gte mso 9]><xml>
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</span></span></b><br />
<b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";">
</span></span></b><br />
<br />
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"></span>
</div>
<br />
<b>B. Deret Bilangan</b><br />
Perhatikan kembali contoh barisan bilangan diatas, diperoleh barisan bilangan<br />
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">1,
2, 3, 4, 5,….<span style="mso-list: Ignore;"> barisan bilangan asli</span></span><br />
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"> <span style="font-family: "times new roman" , "serif";">2</span>, <span style="font-family: "times new roman" , "serif";">4</span>, <span style="font-family: "times new roman" , "serif";">6</span>, <span style="font-family: "times new roman" , "serif";">8, 10</span>,….<span style="mso-list: Ignore;"> barisan bilangan genap</span></span><br />
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">c.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";">2, 3, 5, 7, . . . barisan bilangan prima</span></span><br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">.</span><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"> Jika suku-suku suatu barisan tersebut dijumlahkan <span style="font-family: "times new roman" , "serif";">maka disebut <b>deret bilangan<span style="font-family: "times new roman" , "serif";">.</span></b></span></span><br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";">maka deret bilangan u</span><span style="font-family: "times new roman" , "serif";">ntuk barisan bilangan tersebut adalah</span></span></span></span><br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";"> </span></span></span> </span><br />
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">a.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">1<span style="font-family: "times new roman" , "serif";"> + </span>2<span style="font-family: "times new roman" , "serif";"> +</span> 3<span style="font-family: "times new roman" , "serif";"> +</span>4<span style="font-family: "times new roman" , "serif";"> +</span> 5,….<span style="mso-list: Ignore;"> <span style="font-family: "times new roman" , "serif";">deret</span> bilangan asli</span></span><br />
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">b.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"> <span style="font-family: "times new roman" , "serif";">2</span><span style="font-family: "times new roman" , "serif";"> +</span> <span style="font-family: "times new roman" , "serif";">4</span><span style="font-family: "times new roman" , "serif";"> + </span><span style="font-family: "times new roman" , "serif";">6</span><span style="font-family: "times new roman" , "serif";"> +</span> <span style="font-family: "times new roman" , "serif";">8<span style="font-family: "times new roman" , "serif";"> +</span> 10</span>,….<span style="mso-list: Ignore;"> <span style="font-family: "times new roman" , "serif";">deret </span>bilangan genap</span></span><br />
<span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="mso-list: Ignore;">c.<span style="font: 7.0pt "Times New Roman";"> </span></span></span><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";">2, 3, 5, 7, . . . <span style="font-family: "times new roman" , "serif";">deret </span>bilangan prima</span></span><br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">. .</span><br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">Menerutu banyak suku-suku pebentukan deret dibagi <span style="font-family: "times new roman" , "serif";">menjadi dua yaitu<span style="font-family: "times new roman" , "serif";">:</span></span></span><br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";">1. </span></span></span><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";">Deret hingga </span></span><br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"> adalah deret bilang<span style="font-family: "times new roman" , "serif";">an yang <span style="font-family: "times new roman" , "serif";">mempunyai limit</span></span></span></span><br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"> Contoh : 1+3+5+7+9+11+13+15</span></span><br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";">2<span style="font-family: "times new roman" , "serif";">. Deret tak hingga</span></span></span><br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";"> adalah deret bilangan yang <span style="font-family: "times new roman" , "serif";">suku-sukunya tidak ter</span></span></span></span><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";"><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";">batas </span></span></span></span></span></span></span><br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";"> Contoh : 1+3+5+7+9+ . . . .</span></span></span><br />
<br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><b><span style="font-family: "times new roman" , "serif";">C. Notasi Sigma </span></b></span></span><br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><b><span style="font-family: "times new roman" , "serif";"> </span></b><span style="font-family: "times new roman" , "serif";">Untuk menuliskan jumlah dari suku-suku barisan bilangan dapat digunakan notasi sigma atau notasi pejumlahan.</span></span></span><br />
<br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><b><span style="font-family: "times new roman" , "serif";">Sifat - si<span style="font-family: "times new roman" , "serif";">fat notasi sigma:</span></span></b></span></span><br />
<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><b><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif";">1. Aturan Suku kontan</span></span></b></span></span> <br />
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2. Aturan Jumlah <br />
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3. Aturan kelinearan<br />
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4. Aturan perkalian skalar<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"></span></span></div>
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</div>
<div class="separator" style="clear: both; text-align: left;">
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5. Aturan pengubah indeks<br />
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6. Aturan bagian (jika 1< m < n )<br />
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<a href="https://3.bp.blogspot.com/-nEKJ6hmaexo/WhJXjQ8OhiI/AAAAAAAAB6Q/ILv7rh4ftisSVn4GRJ2XUVcPSWjFcjk2gCPcBGAYYCw/s1600/s6.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="163" data-original-width="693" height="46" src="https://3.bp.blogspot.com/-nEKJ6hmaexo/WhJXjQ8OhiI/AAAAAAAAB6Q/ILv7rh4ftisSVn4GRJ2XUVcPSWjFcjk2gCPcBGAYYCw/s200/s6.jpg" width="200" /></a></div>
7. Aturan dominan jika (<span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">a<sub><span style="font-family: "times new roman" , "serif";">k</span></sub></span></span></span></span><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><sub><span style="font-family: "times new roman" , "serif";"> </span></sub></span></span></span></b></span></b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><u><</u></span><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"> </span></b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;">b</span><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><sub><span style="font-family: "times new roman" , "serif";">k</span></sub></span></span></span></span><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";"><span style="font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"></span></span></span></b></span></b><span style="font-family: "times new roman" , "serif";"> </span></span></b><span style="color: black; font-family: "times new roman" , "serif"; font-size: 12.0pt; line-height: 150%;"><span style="font-family: "times new roman" , "serif";">untuk k=1, 2, 3, . . . n)</span></span><br />
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<a href="https://4.bp.blogspot.com/-52eHZ55Q2CU/WhJXkdzgVzI/AAAAAAAAB6Q/uDZ_XxRpsB0eNuXKjyHvfwE3EQYRBYWEQCPcBGAYYCw/s1600/s7.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="169" data-original-width="631" height="85" src="https://4.bp.blogspot.com/-52eHZ55Q2CU/WhJXkdzgVzI/AAAAAAAAB6Q/uDZ_XxRpsB0eNuXKjyHvfwE3EQYRBYWEQCPcBGAYYCw/s320/s7.jpg" width="320" /></a></div>
8. Aturan Kuadrat<br />
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<a href="https://2.bp.blogspot.com/-p5_iadhKzcM/WhJXlMqI6dI/AAAAAAAAB6Q/NetSbsxAGowSTcJa0SXXL6y-28g9KNq3QCPcBGAYYCw/s1600/s8.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="139" data-original-width="748" height="59" src="https://2.bp.blogspot.com/-p5_iadhKzcM/WhJXlMqI6dI/AAAAAAAAB6Q/NetSbsxAGowSTcJa0SXXL6y-28g9KNq3QCPcBGAYYCw/s320/s8.jpg" width="320" /></a></div>
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Contoh:<br />
1. Hitunglah nilai dari notasi sigma berikut:<br />
<a href="https://2.bp.blogspot.com/-xv-6XZ5tS-M/WhJnTySI71I/AAAAAAAAB6o/ObsHixaadVYnHqj4baIweSJB-b1lq-GSQCLcBGAs/s1600/cs.jpg" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img border="0" data-original-height="51" data-original-width="98" src="https://2.bp.blogspot.com/-xv-6XZ5tS-M/WhJnTySI71I/AAAAAAAAB6o/ObsHixaadVYnHqj4baIweSJB-b1lq-GSQCLcBGAs/s1600/cs.jpg" /></a><br />
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Pembahasan:<br />
Cara I. dengan menggunakan sifat notasi sigma<br />
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<a href="https://1.bp.blogspot.com/-fiT1R_JZRNw/WhJm450aEbI/AAAAAAAAB6s/tD6IJPPDpvkWvRzUqPUFu7hOVtNsrrtdwCEwYBhgL/s1600/cs1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="250" data-original-width="475" height="105" src="https://1.bp.blogspot.com/-fiT1R_JZRNw/WhJm450aEbI/AAAAAAAAB6s/tD6IJPPDpvkWvRzUqPUFu7hOVtNsrrtdwCEwYBhgL/s200/cs1.jpg" width="200" /> </a></div>
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Cara II, Tanpa menggunakan notasi sigama</div>
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<a href="https://2.bp.blogspot.com/-Mi8r9UcnPbk/WhJm5C17D7I/AAAAAAAAB6s/DBZY1Eooq70bbAsTfitUupgmsFvjOOTyACEwYBhgL/s1600/cs2.jpg" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="232" data-original-width="542" height="85" src="https://2.bp.blogspot.com/-Mi8r9UcnPbk/WhJm5C17D7I/AAAAAAAAB6s/DBZY1Eooq70bbAsTfitUupgmsFvjOOTyACEwYBhgL/s200/cs2.jpg" width="200" /></a> </div>
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2 Nyatakan penjumlahan berurutan 3+6+9+12+16 dalam notasi sigma</div>
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Pembahasan:</div>
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<a href="https://4.bp.blogspot.com/-46rnj2hEx4w/WhwmmgTCzjI/AAAAAAAACAc/FAExpzWCFZshBadm4lt3yBUdYcYdLq1twCLcBGAs/s1600/sig1.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" data-original-height="133" data-original-width="314" height="84" src="https://4.bp.blogspot.com/-46rnj2hEx4w/WhwmmgTCzjI/AAAAAAAACAc/FAExpzWCFZshBadm4lt3yBUdYcYdLq1twCLcBGAs/s200/sig1.jpg" width="200" /></a></div>
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Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-62515147828491344822016-07-01T12:23:00.000+07:002016-07-01T12:23:02.213+07:00Anin Souvenir<div dir="ltr" style="text-align: left;" trbidi="on">
Assalamualaikum Warahmatullahi Wabarakatuh<br />
Hay blogger apa kabar?<br />
Kali ini saya mau menginformasikan kepada teman-temen. Sekarang menerima pemesan souvenir dan pembuatan parcel lo. Berikut sample souvenir<br />
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<a href="https://3.bp.blogspot.com/-7xE95aNinEc/V3X5dQYd14I/AAAAAAAABqk/CNWAjeVx44QHljH_-hjUvCueAcGA_cwqQCLcB/s1600/bros-bunga-kain-flanel-650x487.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="239" src="https://3.bp.blogspot.com/-7xE95aNinEc/V3X5dQYd14I/AAAAAAAABqk/CNWAjeVx44QHljH_-hjUvCueAcGA_cwqQCLcB/s320/bros-bunga-kain-flanel-650x487.jpg" width="320" /></a></div>
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@Rp. 2000,-</div>
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<a href="https://4.bp.blogspot.com/-OiYKVoZO8sk/V3X6NOtH3WI/AAAAAAAABqw/qZnTZPPSgFQf2bNOzgonRWUb7M_dWw48wCLcB/s1600/strowbery.JPG" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="180" src="https://4.bp.blogspot.com/-OiYKVoZO8sk/V3X6NOtH3WI/AAAAAAAABqw/qZnTZPPSgFQf2bNOzgonRWUb7M_dWw48wCLcB/s320/strowbery.JPG" width="320" /></a></div>
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Rp. 2000,-</div>
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Rp. 2000,-</div>
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dan masih banyak lagi kakak. . .</div>
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Berikut sample parcel </div>
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<a href="https://2.bp.blogspot.com/-36oyYXjqlYA/V3X7-LLqJGI/AAAAAAAABq8/JAg7AsiED6ggw2-GREugBn_s2JctZWfRwCLcB/s1600/parcel%2Banin%2Btiar.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://2.bp.blogspot.com/-36oyYXjqlYA/V3X7-LLqJGI/AAAAAAAABq8/JAg7AsiED6ggw2-GREugBn_s2JctZWfRwCLcB/s1600/parcel%2Banin%2Btiar.jpg" /></a></div>
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Rp. 30.000,- </div>
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<a href="https://1.bp.blogspot.com/-ItYZmWFUqAQ/V3X8Rqs5QLI/AAAAAAAABrA/JnUIAfPM334XwcutHy21gya2bxWHoMIYgCLcB/s1600/anin%2Btiar%2Bparcel.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="https://1.bp.blogspot.com/-ItYZmWFUqAQ/V3X8Rqs5QLI/AAAAAAAABrA/JnUIAfPM334XwcutHy21gya2bxWHoMIYgCLcB/s320/anin%2Btiar%2Bparcel.jpg" width="320" /></a></div>
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Rp. 30.000,-</div>
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<a href="https://1.bp.blogspot.com/-fAEEFxdHJtk/V3X8RgBeSMI/AAAAAAAABrE/m5kwR4WV39sO5gi1mmgS09j5hQDfencawCLcB/s1600/anin%2Btiar.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" height="240" src="https://1.bp.blogspot.com/-fAEEFxdHJtk/V3X8RgBeSMI/AAAAAAAABrE/m5kwR4WV39sO5gi1mmgS09j5hQDfencawCLcB/s320/anin%2Btiar.jpg" width="320" /></a></div>
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Rp. 30.000,-</div>
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<a href="https://3.bp.blogspot.com/-2me8cmql1HU/V3X9EC76_NI/AAAAAAAABrM/0An2ANA3VK4cTzw3rW5P_DOAMTndrrW4QCLcB/s1600/paarcelan%2Banin%2Btiar.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://3.bp.blogspot.com/-2me8cmql1HU/V3X9EC76_NI/AAAAAAAABrM/0An2ANA3VK4cTzw3rW5P_DOAMTndrrW4QCLcB/s1600/paarcelan%2Banin%2Btiar.jpg" /></a></div>
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Rp. 30.000,-</div>
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<a href="https://4.bp.blogspot.com/-yDSZR2Xe1s0/V3X9EL2ozrI/AAAAAAAABrQ/j5mg-HfxetgrBuPndg4114bb3SppgeF2wCLcB/s1600/12439181_1583623305288808_1630412100880791055_n.jpg" imageanchor="1" style="margin-left: 1em; margin-right: 1em;"><img border="0" src="https://4.bp.blogspot.com/-yDSZR2Xe1s0/V3X9EL2ozrI/AAAAAAAABrQ/j5mg-HfxetgrBuPndg4114bb3SppgeF2wCLcB/s1600/12439181_1583623305288808_1630412100880791055_n.jpg" /></a></div>
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Rp. 50.000,-</div>
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Ingat ya kak, gambar diatas hanya beberapa sample, masih banyak lagi. Info lanjut hubungi </div>
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Anin WA 0856 42945233</div>
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Sekian ya kakak.</div>
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Wassalamualikum Warahmatullahi Wabarakatuh.</div>
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Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-79156795497734523352016-01-27T10:47:00.000+07:002016-01-27T10:53:06.484+07:00Lomba Foto Selfie SMK Diponegoro Karanganyar<div dir="ltr" style="text-align: left;" trbidi="on">
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Semarak tasyakuran bengkel Teknik Komputer dan Jaringan SMK Diponegoro Karanganyar mengadakan lomba foto selfie. Lomba ini bertujuan sebagai wadah fenomena foto selfie. Info selengkapnya bisa kunjungi halaman facebook kami <a href="https://www.facebook.com/selfiesmkdipo" target="_blank">Lomba Foto Selfie SMK Diponegoro Karanganyar,</a> Download formulir berikut ini. </div>
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Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-81231579333280217932016-01-21T09:57:00.000+07:002016-01-21T09:59:15.457+07:00Foto Kegiatan Musyawarah Gugus Depan Perdana Gerakan Pramuka SMK Diponegoro Karanganyar<div dir="ltr" style="text-align: left;" trbidi="on">
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Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-52981741587106035082016-01-16T09:02:00.001+07:002016-01-16T09:02:46.652+07:00Dimana cintaku akan berlabuh<div dir="ltr" style="text-align: left;" trbidi="on">
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Banyak sekali orang-orang yang datang mengetuk pintu hatiku, terkadang akupun tertarik untuk memberikan mereka kesempatan masuk dan mengenalku lebih jauh. Tidak pernah sedikitpun aku rekayasa diriku agar terlihat lebih menarik di depan dia atau dia. Anehnya semakin dia mendekatiku aku semkin merasa hal-ahal aneh yang mendorongku untuk menjauhi dia. Akhirnya kata maaf aku suguhkan untuk dia yang mendekatiku.</div>
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Kadang aku kagum, satu kata maaf tidak mengguncang niat dia untuk mendekatiku, berbagai cara dia lakukan untuk dapat bersamaku. Wah tapi sekali lagi maaf, hatiku menolak. Aku tetap bisa berbuat baik apapun denganmu tapi masalah hati aku tidak bisa berbohong. </div>
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Dikiria aku punya yang lain, padahal jauh sebelumnya aku tidak pernah eh maksudnya belum pernah merasakan rasanya mencintai seseorang. </div>
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Lagi-lagi ada hati yang terluka dengan kata maafku. Ya Allah, begitu kasihan dia yang mencintaiku, tapi takdir Mu berkata lain, lindungi dan berkahilah dia Ya Allh. Temukanlah dia dengan jodoh yang jauh lebih baik dari harapannya. serta berikanlah dia kesabaran atas cinta yang tidak sempat terbalas ini.</div>
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Subhanallah ternyata aku temukan kamu, aku mulai mengerti bagaimana rasanya mencintai, tak selamanya indah, kadang menyakitkn tapi menyenangkan. Mr. Kutub, Terima kasih, kau ajarkan aku mencintai dan dicintai. Semoga Allah menakdirkan kita untuk menjadi sepasang kekasih yang halal. Aku tunggu janji sucimu sayang.</div>
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Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-81877973134457537192015-05-05T08:54:00.001+07:002015-05-05T08:54:02.721+07:00<div dir="ltr" style="text-align: left;" trbidi="on">
Permainan bahasa yang mengagumkan. <br /> Tak bisa hanya skdar dilihat dan didengar.<br /> Perlu analis khusus untuk memaknai.<br /> Yang salah tk selalu salah.<br /> Yang benar belum tentu benar.<span class="text_exposed_show"><br /> Sungguh unik tata bhsa. <br /> Ketika pragmatis brubh menjdi romatis.<br /> Disitu mantik mematikan bergulat.<br /> Tak ada yg perlu direvisi, menurutku.<br /> Karna konon katanya bhasa itu arbiter.<br /> Lucunya negeri bhsa. Meski dinamis tetap bervariasi.<br /> Sandiwara trkadag dibuat nyata. Nyata seakan seperti drama. <br /> Apa yang terjadi di duniamu?<br /> Tanyakan saja pada sastra terindah di dunia. </span><br />
<span class="text_exposed_show">Katanya dialah penjawab smua tanya.</span><br />
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Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-67930577235357725432015-04-23T11:21:00.000+07:002015-04-24T18:34:09.812+07:00Lowongan Guru TSM (otomotif)<div dir="ltr" style="text-align: left;" trbidi="on">
Assalamualaikum Warahmatullahi Wabarakatuh. <br />
Diinformasikan
bahwa SMK Diponegoro Karanganyar membuka lowongan pekerjaan untuk guru
Teknik Sepeda Motor (Otomotif). Dengan syarat:<br />
1. Diutamkan laki-laki<br />
2. Beragama Isalam<br />
3. Lulus SI Teknik Otomotif/Pendidikan otomotif<br />
Lamaran
pekerjaan langsung dikirim ke SMK Diponegoro Karanganyar, Jl.
Kayugeritan KM 1,5 Karanganyar 51182. atau bisa dikirim via email :
info@smkdiponegoro.sch.id CC smkdiponegoro_karanganyar@yahoo.com. <br />
Info lanjut bisa menghubungi Ninda : 085642945233/Miftakhudin : 085742987316.<br />
Selamat bergabung dengan kami. Terima Kasi. Wassalamualaikum Warahmatullahi Wabarakatuh.<br />
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CC : website <a href="http://www.smkdiponegoro.sch.id/" target="_blank">www.smkdiponegoro.sch.id </a></div>
Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-49757033969154804772015-04-20T12:43:00.000+07:002015-04-20T12:48:57.179+07:00Website SMK Diponegoro Karanganyar<div dir="ltr" style="text-align: left;" trbidi="on">
Assalamualaikum. Apa kabar sobat? Semoga Allah selalu memberikan kesehatan buat sahabat ya.<br />
Hanya ingin memberikan informasi buat sobat. kalau <a href="http://www.smkdiponegoro.sch.id/" target="_blank">websit </a><b>SMK Diponegoro Karanganyar</b> kini sudah aktif kemabali. Hmm akhirnya setelah lama vakum, kini website SMK Dionegoro bisa cair lagi dengan tampil beda dan lebih update.<br />
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Disediakan juga ruang guru dan ruang siswa yang penuh interaktif. Hayo silahkan berkunjung ke website SMK Diponegoro Karnganyar.<br />
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<span style="font-weight: normal;">Semoga bermanfaat. Wassalamualaikum.</span><b><span style="font-weight: normal;"> </span></b></div>
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Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-64810653182929326842015-03-16T18:17:00.000+07:002015-03-16T18:19:33.230+07:00Pahlawan Swasembada Pangan Dunia ada di Karanganyar Kab. Pekalongan<div dir="ltr" style="text-align: left;" trbidi="on">
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Assalamualaikum. Selamat sore caper (Cah pertanian). Sudah pada mandi belum ya. Hmm Bau acem ne. Hehe</div>
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Siapa yang tahu pahlawan swasebada pangan dunia. Cung yuk ngacung!. Jawabnya adalah . . . .</div>
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emmm . . saya. Hehehe G denk. Pahlawan swasembada panan dunia adalah para tani seluruh dunia. Tanpa meraka kita mungkin tidak makan. </div>
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Nah. Ngomong-ngomong tentang pahlawan swasembada pangan di Kab. Pekalongan. Hanya ada satu-satunya sekolah yag menciptakan pahlawan-pahlawan dunia lo. SMK Diponegoro Karanganyar memberikan jawaban. Jangan salah ya meski meraka kotor-kotoran tapi merekalah pahlawan kehidupan dunia. </div>
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Pingin lihat aksi mereka ini dia. </div>
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Subhanallah luar bisa bukan mereka. Ada yang mendaftarakan diri jadi pahlawan dunia. Yuk gabung di SMK Diponegoro Karananyar. Info lanjut hubungi Anin : 085642945233. Selain bisa jadi pahlawan dunia disini juga dicetak jadi khafid dan khafidhoh lo. Waw luar biasa. Kami tunggu ya.</div>
Wassalamualakium. Wr. Wb.<br />
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Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-71090689238089145292015-03-03T18:20:00.000+07:002015-03-03T18:20:18.594+07:00Sekolah sambil menghafal Al-Qur'an<div dir="ltr" style="text-align: left;" trbidi="on">
Assalamualaikum. Sore sobat. Hmm Jaman sekarang milih sekolah gampang-gampang susah ya. Yang mahal belum tentu mencetak siswa yang mempunyai kepribadian yang baik, berakhalakul kaharimah tepatnya. Yang murah apalagi tenaga pendidiknya asal-asalan aja.<br />
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Tapi ada ne SMK yang tidak hanya sekedar murah tapi juga mengedepankan pembentukan akhlak yang baik. Dimana hanyo? ini dia SMK pertanian satu-satunya di Kabupaten Pekalongan. Yang punya program khusus yaitu BTQ dan BTA. Selain itu juga mempunyai ekskul yang keren-keren sobat. Ada pramuka yang benar-benar aktif dan produkif. Bagaimana tidak coba siswa pramuka SMK Diponegoro Karanganyar adalah satu-satunya yang terpilih setiap tahunya dalam acara Kwaran Karanganyar. Padahal di Karanganyar ada banyak Gudep lo. Tidak ingin menjatuhkan sekolah lain sih. Tapi inilah fakta.<br />
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Selain itu SMK Diponegoro juga punya ekskul yang menantang yaitu Pecinta Alam. Tiap liburan pasti ada acara-acara seru yang bisa merefreskan otak. Hmm Seru bukan.<br />
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Selain itu juga ada ekskul lain kok. Seperti PMR, Pencak silat, volly, futsal dan yang tidak ketinggalan adalah ekskul Komputer.<br />
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Dari pada penasaran mendingan langsung ge gabung dengan kami. Bisa daftar online di ppdb.smkdiponegoro.sch.id. Bisa juga datang langsung ke SMK Diponegoro Karanganyar. Di Jl Karanganyar KM 1,5 Kayugeritan Karanganyar. Kode pos 51182. Atau bisa line telepon/sms Ninda : 08998797943.<br />
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Kami tunggu sobat. Terima kasih. Wassalamu'alaikum.</div>
Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-46687492757546227472015-03-03T17:57:00.000+07:002015-03-03T17:57:19.236+07:00Anin Tiar Amatiran Somed<div dir="ltr" style="text-align: left;" trbidi="on">
Assalamualaikum blogger, Apa kabar lama tidak saling temu kangen juga. <br />Ngomong-ngomong masalah somed ternyata eh ternyata yang namanya Anin Tiar (saya) doyan banget registrasi. Hanya registrasi setelah punya akun ya sudah tidak dimanfaatkan secara baik..<br />
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Bingung banget ketika ada teman yang bilang tahu <a href="http://smkdiponegoro.sch.id/" target="_blank">SMK Diponegoro Karanganyar</a> dari <a href="https://anintiar.wordpress.com/" target="_blank">wordpress</a> saya. Padahal sudah lama wordpress tersebut sudah tidak saya sentuh. Tapi teryata justru malah berfungsi. Subhanallah. <br />
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Maafkan saya ya fans (hehe sombong ah) sudah buat kamu, kamu dan kamu bingung karena banyaknya somed yang aku ikuti. Saran aja buat yang butuh informasi jangan cari di sosmed mending lewat sms/call aja.</div>
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Insya Allah kalau ada kesempatan (pulsa dan waktu) aku balas kok. </div>
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Berhubung banyaknya sosmed yang aku daftar dari situs jejaring sampai lainnya. Mohon maaf ya kalau ada komen atau chat yang tidak sempat terbalaskan. </div>
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Itu saja sobat. Sampai jumpa lagi. Wassalamualaikum.</div>
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Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-70183445590591753302015-03-02T19:27:00.000+07:002015-03-02T19:27:02.525+07:00Siswa Pertanian SMK Diponegoro Karanganyar membuat abon berbahan ganyaong<div dir="ltr" style="text-align: left;" trbidi="on">
Assalamu'alaikum. Wr. Wb.<br />
Alhamdulillah, baru bulan kemarin siswa pertanian SMK Diponegoro Karanganyar membuat inovasi baru dari tanaman kebun yang kurang dimanfaatkan. Tidak sekedar coba-coba. Hasil inovasi ini juga diikutkan dalam Lomba Kreativitasdan Inovasi (KRENOVA) Kabupaten Pekalongan pada tanggal 13 Februari 2015.<br />
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Hasil abon ganyong tersbut diberi nama ABG REKOLBE (abon Ganyong Rendah Kolestrol Lezat Bergizi).<br />
berikut ini contoh untuk kemasannya.<br />
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Abon ganyog ini diolah dengan baha alami. Bahan-bahan tambahnya yakni air santan kental, cabai, bawang merah, bawang putih, cabai, jahe dan ditambahakan gula merah dan garam secukupnya.<br />
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Pembuatanya sangat simple dan tidak memerlukan biaya yang mahal. Abon ganyong ini cocok sebagai lauk dan tambahan makanan seperti isi risoles, pastel manis dll.<br />
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Doakan kami lolos dalam Krenova ya blogger. Salam alam, lestari alamku, damai negeriku.<br />
Wassalamualaikum. Wr. Wb.</div>
Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0tag:blogger.com,1999:blog-8120631736589538822.post-26363925871054774562015-03-02T19:15:00.000+07:002015-03-02T19:15:45.875+07:00Pendaftaran Peserta Didik Baru SMK Diponegoro Karanganyar<div dir="ltr" style="text-align: left;" trbidi="on">
Assalamualaikum Wr. Wb.<br />
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Alhamdulillahirabil alamin, puji syukur atas nikmat Allah SWT yang telah memberikan kita tubuh yang sehat dan menikmati hidup di dunia. Shalawat serta salam tak lupa senantiasa tercurah kepada Nabi Muhammad SAW. </div>
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Telah dibuka pendaftaran peserta didik baru SMK Diponegoro Karanganyar Tahun Ajaran 2015/2016.<br />
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Program kehalian : AGRIBISNIS TANAMAN PANGAN DAN HORTIKULTURA (lebih dikenal dengan pertanian), TEKNIK KOMPUTER DAN JARINGA, dan TEKNIK SEPEDA MOTOR.</div>
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Bagi Teman-teman kelas IX yang berminat di SMK Diponegoro Karanganyar yuk silahkan gabung. </div>
Bisa daftar <a href="http://ppdb.smkdiponegoro.sch.id/" target="_blank">online. </a>Bisa juga downlod brosurnya.<br />
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Jangan sampai ketinggalan ya teman-teman kami tunggu.<br />
Wassalamualaikum Wr. Wb.</div>
Anin Tiarhttp://www.blogger.com/profile/00887017439065096433noreply@blogger.com0