Tuliskan3 bilangan berikutnya dari barisan bilangan: 100,50,25,12,5, ..., ..., ...

<p>Jawaban : 6,25 ; 3,125 ; 1,5625.</p><p>&nbsp;</p><p>Ingat!</p><p>Rumus suku ke-n pada barisan geometri</p><p>Un = ar^n-1</p><p>dengan :</p><p>Un = suku ke-n</p><p>a = U1 = suku pertama = suku ke-1</p><p>r = rasio<br><br>Pembahasan :</p><p>U1 = a = 100</p><p>U2 = 50</p><p>&nbsp;</p><p>Mencari rasio</p><p>r &nbsp;= U2 : U1 = 50/100 = 1/2</p><p>&nbsp;</p><p>3 suku berikutnya yaitu suku ke 5,6,7</p><p>Un = ar^n-1</p><p>Un = 100 × (1/2)^n-1</p><p>&nbsp;</p><p>U5 = 100 × &nbsp;(1/2)^5-1&nbsp;</p><p>= 100 × &nbsp;(1/2)⁴</p><p>= 100 × 1⁴/2⁴</p><p>= 100 × &nbsp;1/16</p><p>= 100/16</p><p>= 6,25</p><p>&nbsp;</p><p>U6 = 100 × &nbsp;(1/2)^6-1&nbsp;</p><p>= 100 × &nbsp;(1/2)⁵</p><p>= 100 × 1⁵/2⁵</p><p>= 100 × &nbsp;1/32</p><p>= 100/32</p><p>= 3,125</p><p>&nbsp;</p><p>U7 = 100 × &nbsp;(1/2)^7-1&nbsp;</p><p>= 100 × &nbsp;(1/2)⁶</p><p>= 100 × 1⁶/2⁶</p><p>= 100 × &nbsp;1/64</p><p>= 100/64</p><p>= 1,5625</p><p>&nbsp;</p><p>Jadi, 3 suku berikutnya adalah 6,25 ; 3,125 ; 1,5625.</p><p>&nbsp;</p><p>&nbsp;</p>