Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 11 - Section 11.3 - Geometric Sequences and Series - Exercise Set - Page 854: 41



Work Step by Step

Formula to calculate the sum of the first $n$ terms of a geometric sequence is: $s_n=\dfrac{a(1-r^n)}{(1-r)}$ Here, $r=\dfrac{a_2}{a_1}=\dfrac{5 \cdot 2^2}{5 \cdot 2^1}=2$ As we are given that, $n=10$ Thus, $s_{10}=\dfrac{5 \cdot 2^{1}(1-2^{10})}{(1-2)}$ or, $s_{10}=10230$
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