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: 45

Answer

$\dfrac{3}{2}$

Work Step by Step

Formula to calculate the sum of the infinite terms of a geometric sequence is: $s_n=\dfrac{a_1}{(1-r)}$ Here, $r=\dfrac{a_2}{a_1}=\dfrac{1}{3}$ As we are given that, $n=\infty$ Thus, $s_{\infty}=\dfrac{1}{(1-\dfrac{1}{3})}$ or, $s_{\infty}=\dfrac{3}{2}$
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