College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Summary, Review, and Test - Review Exercises - Page 789: 49

Answer

$20$

Work Step by Step

We can see that the ratio of subsequent terms is $\frac{4}{5}$, thus $r=\frac{4}{5}$. The sum of an infinte geometric series can be dividing the first term($a_1$) by the difference of $1$ and the common ratio ($r$). So $S=\frac{a_1}{1-r}$. Hence here $S=\frac{4}{1-\frac{4}{5}}=20$.
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