[b]Pengertian Barisan Bilangan[/b][br]Barisan bilangan adalah himpunan bilangan yang diurutkan menurut suatu aturan tertentu. [br][size=150][b]1. Barisan Aritmatika[br][/b][/size]Barisan aritmatika adalah barisan bilangan yang setiap sukunya diperoleh dari suku sebelumnya dengan menambah atau mengurangi suatu bilangan. Suku pertama dilambangkan a dan bedanya dilambangkan b.
Untuk mengetahui nilai suku ke-n dari suatu barisan aritmatika dapat dihitung dengan rumus berikut: [br][center][img width=146,height=19]data:image/png;base64,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[/img][/center]Keterangan: [br][img width=113,height=19]data:image/png;base64,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[/img][br][img width=120,height=19]data:image/png;base64,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[/img][br][img width=140,height=19]data:image/png;base64,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[/img][br][b]Contoh soal :[br][/b]Suku ke-40 dari barisan 7,5,3,1, ..... adalah[br]Penyelesaian: [br][justify][img width=123,height=19]data:image/png;base64,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[/img][br][img width=422,height=20]data:image/png;base64,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[/img][br]Jadi, suku ke-40 barisan aritmatika tersebut adalah -71.[br][br][b]2. Deret Aritmatika[br][/b]Deret aritmatika adalah penjumlahan suku-suku dari barisan aritmatika. Penjumlahan dari suku pertama sampai suku ke-n barisan aritmatika dapat dihitung dengan rumus berikut:[br] [img width=107,height=34]data:image/png;base64,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[/img][br] atau[br] [img width=154,height=34]data:image/png;base64,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[/img][br][b]Contoh Soal: [br][/b]Tentukan jumlah 100 suku pertama deret 1+3+5+7+9+......[br]Penyelesaian: [br][img width=154,height=34]data:image/png;base64,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[/img][br][img width=491,height=37]data:image/png;base64,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[/img][br]Jadi, jumlah 100 suku pertama deret di atas adalah 10.000.[br][br][b]3. Sisipan [br][/b]Jika di antara dua suku berurutan pada barisan aritmatika disisipkan satu atau lebih suku sehingga terbentuk barisan baru, proses tersebut disebut menyisipkan[br] [img width=81,height=35]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHoAAAA0CAMAAABy1dzKAAAAAXNSR0IArs4c6QAAAJNQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGaQAGa2OgAAOjoAOjo6OjpmOjqQOmaQOma2OpC2OpDbZgAAZjoAZjo6ZmaQZpC2Zra2ZrbbZrb/kDoAkDo6kDpmkGY6kLbbkNv/tmYAtmY6tmZmtpA6tpBmttv/tv//25A625Bm27aQ2////7Zm/7aQ/9uQ/9u2//+2///bfBO7hQAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAFiUAABYlAUlSJPAAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACh0lEQVRYR+1YW1fbMAyOKZQGtgEpA5bdwri4NEvi///rZtlOaqdOLLWeDw/opT0nlT7d9aVZ9iHvPQM1Y2zxmmVcft6gnKVrTJnlbPECzyp2jUIGL6kaE4a5CbY6+Y2G1unBa0wYrtg3eCJKSDtK6Bp+s6LU0XbFCoULTlI1Jgx3xXILj5oc12TgJFVjArpmOlqu844Qukaoy9ClHvoSrTFfalHqLDoCEzxI/7wvtVcDkbThJ12hfW9yyLt4zhm72vfBtuhqZOIR255jt5pcR1OrUsOkbgJLzdEQzxemVyjx6t/qaCWoCr6SXR6aMkfj74MoD49aaVqj1RXzU2age43DoeXqfsiyN5N2Fb+n35xsuhpHQItH2Vmnd0Nr8bPQPnU1joAetQenDqsF3eRsOEGc3H1kZLnRd23WmBULZUMvRxN7DV43n+cH281TWyyHCu2Gg7xvRKl2F2FaZI4Ny3HnBH+M6PvAq8GHUqv0pRS9l0A4IXMxPIRDvsnZl61c7NgLHANXrcTrP7/k4R9vQ+8BjITZzwc7gwExVyGu7YC1SsWLhba5wHHfB07b86eUURu6uE/y/n+ta5VvAp+Plxfd2vsNHg9h0lLFzrcS+SoB1AhCfL//KS+/JB4HiH1vD1A/SsW6t/N22hL7loT1J0RGeztyUceG1uMxljFzadef1lQOEgze/8o3ghY/4ETEvky7e2t76eFr0aHVJmzXDJi5JSmg9c2pTkajmQIaukw8LdX/SYmjlqyuvbV7fPLkxK61osIeJpkg4dBlvruTABq6zMduEkBDAX2HPgG0+t9R4jdf3XeufWhRsRXlvSy0RnXA3Roo/OxwbS4VgbyMvUtDDr7H5/8AaVw3dU2+SwkAAAAASUVORK5CYII=[/img][br] [img width=66,height=35]data:image/png;base64,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[/img][br][b]Contoh soal:[/b][br]Diantara bilangan 9 dan 111 disisipkan sebanyak 33 bilangan, sehingga bilangan semula dan bilangan bilangan yang disisipkan membentuk barisan aritmatika. Suku ke-23 barisan tersebut adalah ....[br]Penyelesaian: [br][img width=81,height=35]data:image/png;base64,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[/img] [br][img width=166,height=38]data:image/png;base64,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[/img][br][img width=357,height=20]data:image/png;base64,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[/img][br]Jadi, didapatkan suku ke-23 adalah 75[br][br][b]4. Suku tengah ([img width=15,height=19]data:image/png;base64,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[/img])[/b][br]Suku tengah barisan aritmatika, untuk n ganjil adalah: [br] [img width=77,height=34]data:image/png;base64,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[/img][br][b]Contoh soal:[br][/b]Suku pertama dan suku tengah suatu barisan aritmatika adalah 4 dan 34. Suku terakhir barisan tersebut adalah....[br]Penyelesaian: [br][img width=77,height=34]data:image/png;base64,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[/img][br][img width=78,height=34]data:image/png;base64,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[/img][br][img width=78,height=19]data:image/png;base64,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[/img][br][img width=78,height=19]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAHUAAAAcCAMAAABoIQAcAAAAAXNSR0IArs4c6QAAAHhQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOmaQOma2OpC2OpDbZgAAZjoAZjo6ZpC2ZrbbZrb/kDoAkGaQkJBmkLaQkNv/tmYAtmY6tpA6ttv/tv//25A625Bm27aQ29u22//b2////7Zm/9uQ/9u2//+2///bLN8hRAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAFiUAABYlAUlSJPAAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABvklEQVRIS+1Wa1uCMBRmaLZSNKLLrMhiyP7/P+zcBgjK9jxZH8p9wUfGec97OYMkuayLAn9CgY+NuiYiu7VS6c1rBKla8xNTyyqlZm9JUsJ1Ndy4X8/ziv40KgdknT6H6iWukD4nd5ZqRgyMWg731XrBmInlSnKZrGdUHCpTNCMerkARhOo9Xrs2TgLb9ClCYeBIBXsQvmLJd1gIai2M2mSrGF9dwRybbJiBJmupdgqPrB+QNosqBrXJ2LtaDwuCibsNBBdihBFZVpAm7/MpgS1QOEDFsLare9oHpCenlIRU31bJfk06uxd8NgQK+mL/4ckpZV5MJ+ehl5awtki5NznHOYC+hOpMm4ijqnhbXTHiIQkie6W3wOTUuhVzGtVH5ogsgoQ7wFaZnJEiYy4RvvpZsN2U+DqWte+j9mN9cmIjfPVbyFa3BQ/fdcrySLpJ1TiFuZF4VJ6b99zOHnNXSAZLzPBOYz9NhudwTb9Di+M3veRYl43IqUXl9wwg4+RsISnye7ogvkaCzVG5+Z10h9Efnxehzr95n2ji+fKrq9YQpPF58cM9EE2z+HwIxuGcjZT8VXEV86FyTtx/WesLfp0eYaTl10IAAAAASUVORK5CYII=[/img][br][img width=52,height=19]data:image/png;base64,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[/img][br]Jadi, didapatkan suku terakhirnya adalah 64[/justify]
[b]1. Barisan Geometri[/b][br]Barisan dan deret geometri adalah suatu barisan yang memiliki perbandingan (rasio) antar dua buah suku terdekat berturut-turut selalu tetap. Secara umum [img width=149,height=19]data:image/png;base64,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[/img][br]Rumus suku ke-n dari barisan geometri adalah [br][center][img width=84,height=19]data:image/png;base64,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[/img][br][br][img width=62,height=41]data:image/png;base64,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[/img][/center]Keterangan: [br]a= suku pertama [br]r=rasio[br][b]Contoh soal: [br][/b]Tentukan suku pertama raiso dan suku-8 dari barisan geometri berikut ini[br]Penyelesaian: [br][img width=67,height=37]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAGUAAAA4CAMAAADTssbUAAAAAXNSR0IArs4c6QAAAIdQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOjoAOjo6OmaQOma2OpDbZgAAZjoAZjo6ZpDbZrbbZrb/kDoAkGY6kLaQkLbbkNvbkNv/tmYAtpA6tpBmtpCQttvbttv/tv//25A625Bm27Zm27aQ29v/2////7Zm/9uQ/9u2/9vb//+2///bFyqA8AAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAFiUAABYlAUlSJPAAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABlklEQVRYR+1Y0U7DMBDLhQ3CGGGMwVgZjLCypLT//31cm4sqhDS1aI4QIs9NXfty9qVK/a+/oUBTLugCTWVvpi8HNIijJRpCKU/XeJDansPVUsrRXQ4q+nF7STTdILGC0TMufmk0kpIn3bFwhCxPenswZ684zRJKbSMnzPKiFNcHiJKUwiqmitgvDusAldVr1TxBjxizqO4N0WSZwWYwJ+t3v7UN1VZe6FdyUzFAZbHnMZgu8Dwh3SjpBO5ggRFX2pu2ycINhpkY69v8wDnrudn6Icvz2ejXcWc8+uzH1lzthFShH2ab2p58Oqktf2pCaVY0QRk5e56kN0MOi/EvOg7tNSf1DgaZ4omD+zZcn6z6TJjr0Skl0TRUgpHPCRfUqOAjB6kHqiw8vK1bt4zt5kF3nuZ5wa2u5+8jJeZSlu1OcGRwJW/Z8gyIvZAWF8oVGcjRsg+mHCjYi4VwaVY5qGAdSaiAR/GIkuXGHwz8H4xStc0A0qxirBbDIny0T8YNLp7hYJAo3ejTLSSKSyA52vKHcsO3fQJDMBm/W1w1jwAAAABJRU5ErkJggg==[/img][br][img width=91,height=21]data:image/png;base64,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[/img][br][img width=285,height=21]data:image/png;base64,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[/img][br]Jadi didapatkan suku ke-8 adalah 4.374[br][br][b]2. Deret Geometri[br][/b]Deret geometri adalah suku-suku dari barisan geometri.[br]Rumus umum jumlah n suku pertama deret geometri: [br] [img width=208,height=42]data:image/png;base64,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[/img] [justify] [img width=208,height=42]data:image/png;base64,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[/img][br][b]Contoh soal:[br][/b]Tentukan jumlah 7 suku pertama dari deret 1+2+4+8+...[br]Penyelesaian:[br] [img width=95,height=37]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAI8AAAA4CAMAAADzcltsAAAAAXNSR0IArs4c6QAAAG9QTFRFAAAAAAAAAAA6AABmADo6ADqQAGa2OgAAOgA6Ojo6Oma2OpDbZgAAZjoAZjo6ZmY6ZpC2ZpDbZrbbZrb/kDoAkGY6kLaQkNv/tmYAtmY6tv//25A625Bm27Zm27aQ2////7Zm/9uQ/9u2//+2///b4fGmjgAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAFiUAABYlAUlSJPAAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAABiElEQVRoQ+2ZfVPCMAzGl4lWsfjGgGmda+m+/2d0rMNRFEy5Lc1p+w+3u8J+l6bJk4csSytFIGoEmo8HATB7iQoxvNxKeK4zI+CGB5CV9zsQDVdvPIAchRH5JvGcjoCC65pRfJqC13GVsGQUnUxBd8m4LM0LxwgmtdCdj5WscJrC3fSSSUYrd9ON4MHT9tN+8eBRexxeBZFL6fmLHElhnj3VpDBRSd8r3krslJ1ZRNfjTmG+z2sFS91OUENT1PsS132OVed++dVBYZb5+m7TJxUqspNs+lKYTQGz+KPKoDDbhojrhN4p4h9Q0TxQmEbEn1QOFab6NnmT57OnMOOPKp7CtHKsC41KlJ82eQozfvr4ClNHN24uV5hhQqW6nbisBVlh28VoneZUYgYIle0qf6Tq0Bgr7PWptpLIwcPwdGM0EQ/SCqPiwVphVDzY/kLEg7bCaHiOrLAzUoCEJ8AKo+AJscIIeIKsMAKeICtsemEVZoVVMLULHCBU2v/D3DCJG10ulpb/7YufCqkY2dIY/7YAAAAASUVORK5CYII=[/img][br][img width=208,height=42]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAATgAAAA/CAMAAABD0yRUAAAAAXNSR0IArs4c6QAAAKtQTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OgBmOjoAOjo6OjpmOjqQOmaQOma2OpDbZgAAZjoAZjo6ZjpmZmY6ZmZmZma2ZpCQZpC2ZpDbZrbbZrb/kDoAkDo6kGYAkGY6kGZmkGaQkLaQkLbbkNv/tmYAtmY6tpA6tpBmttvbttv/tv//25A625Bm27Zm27aQ29v/2////7Zm/9uQ/9u2//+2///bgdApeAAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAFiUAABYlAUlSJPAAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAAFX0lEQVR4Xu1ae2ObNhC3SNLRx9bMbO2WNOljW+y2CTEzGL7/J9vpgazDEuhk5hIF/jL4JHQ/ne7x4xaL+ZoRmBGYEZgRmBE4KQJF9it+32N68bDL2IstZRn5xT8U8acv29wmHY0fr6v0zz+2ZXLno93mpRIrMhrSPpNPWKZeWtQt2U+LRe4DHBimFmtuzx4mrOm4S7MrKzBbDcOw+5y8Y3sx6yaMu97JzFayjn/jK2tuwQrrJVjdwLW+2tZLA9+c3QwNieR/u8EJzKrUAumh2gi4qExu9xtjydXXX6whskqVWW1SHkSrTBy8KgXDgdiw8YAOAbdY+fjFp2F0G/biHpCwnUhQIFfPHy+3cMzKlPGoIMNCnSVXHvkIBq6d72lg07fKKuVBs7k1nE/J9jcr42fy95u7eulhZOh9GDgRjmO4FGKQq+1zMgM44zlInnvlbR1YMHBynyK4Spn+I6dtB65e9kREGGJcyI9FCpzyOa4TZFhcqK1ECpzyYYYrQ8fIAC4P9E5xAqdcXJW6soQ9oi5sh/xVpMFBwFH/nrmqJ50+1MvADAwPjCYdAee23X35DtV3Yc2AdQIc6uIWG2amiPEkwGvG3m4XXxm7tKYJuuQKS8AgsRZXokrUqEqufidlLfKH/Jrz/+dT5ENNMUweeeM4lsFBThkY4+1L3byGU3H+9t5bER/BsZQVbNRYm9B8ctTWPhoJGc1L82Ul19tF4cwsvOfsCB5S54EzFfClInDowbDQ5EhNZPLSLZHhwctSV19kY9CPZdDHGnsYPs52MS/dzpVHUkXL3XU4Cp/kqPzZ5bMwL40zdKpRTVS+WduDgFdyVGTnH1x6GWj1shcTxUV46ddMuD5ZFsMdnBigm8WzXGaBZw9YSPGrIKVDBCKotbZwJu3pKVjyPk6tdJppgamH9/mxoEpqWRxKUEXerT8AZILwVCQDFmofQ6F9qRaPCWpDo+Zbaj2xJnAwjyP9/7HQDL5dRsj29K2SN/yDhgRurx8Sko9xbr5yEdT8xB5URcixgUMgdiUM6nQKAWVVqvyH7eeQKeB0qYyFRGzYvDRjfR9BzU/sv1iVTkSAk06j9BFxe6qbzm4oHVTe0d5JutkgZ4RPUkJwkJv1GQqa/S5+l3W4nW4oLff9BqcwllHeIY2r1UTaWEug6jwXC634HuO0qy9BGbY4/cIDjSYbHMCKRGhUHz+UjSkYTBdnCHFYu/ygm6Du93HVK1HNHJdRj2JA1EmkcYGLkt8dURDQZoSFqhTObafoctRgPKp+tyxJb4nqHJKGHtS+RlX4WPk2ikoV8vfSqWEXJ4Br/npQj1shMRTnwHaC2nJG1bK1/IpdgK+UZTStfe1YAELHt4qDMd00364hfdt9vIGWAuG6wH7k3dn97iOYIhYSIYNDXAAHKy+bi+urHDQvXbwTlJJKWPzb1/rUPmjE9MXIq/dSWwz0VVzc8SYMTgLoNETcwdnh/3EXaAi1WXFqpK2WGsxdq3Z56b1evu1rfUgEsEmk3sspksHe7Ws9wNH5S1rvZb289DXg08lR2tccqyKHZ2rvZU5t3jkFfJT2Ncd6yN9ooui9pLSv2YEjG5yRSsgZ6Uf9FCb1v7/D3og58Npoey8JcNsbMUnARdPsQICtLXzEECfPdTBhpO01FODCGjHjbOii4GaSLF2e6/n1XlKQC2vEnC3OtDhCI+YMnBkcCL0Gc3BAXL9/I2akvZcUHwckj/ro49Nr0M4ca+8lBTl6I+Yz7r1EwJKL/O62TJFuo5hOqGxQlW+87JnW+EezG8fiHrrfUxgXQJ3rZY/ZezkFLIhrCG7EDOu9JK5uFp8ReIoI/AckeKUenb6e5AAAAABJRU5ErkJggg==[/img][br][img width=269,height=43]data:image/png;base64,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[/img][br]Jadi didapatkan jumlah 7 suku pertama adalah 127[/justify][b]3. Deret Geometri Tak Hingga[/b][br]Apabila n mendekati tak hingga, yaitu [img width=216,height=20]data:image/png;base64,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[/img] [br] [img width=215,height=34]data:image/png;base64,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[/img][br][img width=19,height=20]data:image/png;base64,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[/img] disebut jumlah sampai tak hingga suku [br][br][b]Contoh soal: [br][/b]Tentukan jumlah deret geometri tak hingga [img width=108,height=29]data:image/png;base64,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[/img] +…..[br]Penyelesaian: [br][img width=153,height=35]data:image/png;base64,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[/img]
Untuk memperdalam pemahaman mengenai barisan dan deret, silahkan simak video pembelajran berikut ini
Setelah mempelajari materi di atas, kerjakan latihan soal berikut untuk memperdalam pemahaman kalian tentang barisan dan deret
1. Diketahui barisan aritmatika :4,1,-2,-5,..... suku ke-10 barisan tersebut adalah....
2. Suku ke-n suatu barisan bilangan dirumuskan [img width=94,height=20]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAI0AAAAeCAMAAAAmcm16AAAAAXNSR0IArs4c6QAAAJ9QTFRFAAAAAAAAAAA6AABmADo6ADpmADqQAGa2OgAAOgA6OgBmOjoAOjo6OjpmOmaQOma2OpC2OpDbZgAAZjoAZjo6ZmY6Zma2ZpCQZpC2ZpDbZrbbZrb/kDoAkDo6kGY6kLbbkNv/tmYAtmY6tpA6tpBmtpCQttv/tv//25A625Bm27Zm27aQ29u229v/2////7Zm/9uQ/9u2/9vb//+2///bZbPnrwAAAAF0Uk5TAEDm2GYAAAAJcEhZcwAAFiUAABYlAUlSJPAAAAAZdEVYdFNvZnR3YXJlAE1pY3Jvc29mdCBPZmZpY2V/7TVxAAACHElEQVRYR+1Wa1PCMBAkUTQ+ECygiBUpopSibWr7/3+b18ultFBIgsOMM5Iv5XG32ezeXdpqndZJgZMCf1sBeb34DUEpGGP3gBDA8yJ2hYqupiolhPRimSHy1QDizseNWwGdHv4RWCBtIKR9xl3ZSMGBSOqhBFsr8wgwZM9uyqQTPmRn5EyoP5gwpEAaSZlZS5CCxA30MU14+v/ZKM48ZzaULUUj/ZBdYsAa2JZNLclaG0JPmusiIIOkUKyc1sHaUH1ENwWpSLC2Mrwsm6S5rMDg6tpws8KGD6E7Ox9Wh/mei7sictmNoVpnY+hIJUXpn3PZ1O1NOq+t1krYdELmwfmQDayA30LzJMRGP3Pftimqp98sth2dsiVY/sY4dnDuIw/NIiCDytaykloHbbIB8HJM7LUYvMHTEwAVb+5TJewqm/3kGtg0DrVtFLCr4K16R7Mo4XbOPssqVvuBNpZsSMUQ47Uxms1hZbMeUolyqOqUSVXMUBati1c5pY1aivYCbh/z3af2qswHbFGLKibeSo562RR3L/yaz0UX0ZdPUjw+xIntJRGp+7+gwXoxdLg5MWEcZkGqbkeyCBRKX1BcGIcwtSBALRQtNIMilJqL2KufE/jGu1/7/SnMfB+sI8kiQGqXDKoISCQ4ZPYYebgH5D4Yl3kHXFnue5kzkAi9gpijjx0hRXFr8GlkOTaOywfLJuvzkfMb8nF5/Xf0H6TwMIAfEchkAAAAAElFTkSuQmCC[/img]. Suku ke-15 dari barisan tersebut adalah ....
3. Diketahui suku-5 dan suku ke-9 dari suatu barisan bilangan aritmatika adalah 18 dan 6. Suku ke-3 barisan tersebut adalah ....
4. Jumlah n suku pertama deret aritmatika dinyatakan dengan [img width=100,height=21]data:image/png;base64,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[/img]. Suku ke-9 dari deret aritmatika tersebut adalah ...[br][br][br]
5. Diketahui barisan geometri dengan suku ke-5=162 dan suku ke-2=-6. Rasio barisan tersebut adalah ...
6. Tiga bilangan membentuk barisan geometri. Jumlah ketiga bilangan itu adalah 26 dan hasil kalinya 216. Jumlah bilangan pertama dan ketiga dari barisan geometri adalah ...
7. Hasil produksi pakaian seragam sekolah putih abu-abu yang dibuat oleh siswa-siswi SMK Jurusan Tata Busana pada bulan pertama menghasilkan 80 stel. Setiap bulan berikutnya, hasil produksi meningkat sebanyak 10 stel sehingga membentuk deret aritmatika. Banyak hasil produksi selama 6 bulan pertama adalah ..... stel.
8. Pada barisan aritmatika, nilai suku ke-25 tiga kali nilai suku ke-5. Suku yang bernilai dua kali suku pertama adalah suku ke- ...
9. Jumlah suatu deret geometri tak hingga sama dengan dua kali suku pertamanya dan jumlah empat suku awalnya sama dengan 2,5. Jumlah deretnya adalah ...
10. Sebuah keluarga mempunyai 6 anak yang usianya pada saat ini membentuk barisan aritmatika. Jika usia anak ke-3 adalah 7 tahun dan usia anak ke-5 adalah 12 tahun, maka jumlah usia enam anak tersebut adalah.....