Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - Chapter Review - Page 841: 21

Answer

$4088$.

Work Step by Step

The sum of a geometric sequence until $n$ can be obtained by the formula $S_n=a_1(\frac{1-r^n}{1-r})$ where $a_1$ is the first term and $r$ is the common ratio. Here $a_1=8,r=2,n=9$ Hence here the sum is: $S_n=8(\frac{1-2^9}{1-2})=4088$.
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