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 - Cumulative Review Exercises - Page 872: 27



Work Step by Step

The sum of an infinite geometric sequence can be obtained by the formula $S_n=\frac{a_1}{1-r}$ where $a_1$ is the first term and $r$ is the common ratio and $|r|\lt1$. $0.\overline{3}=0.3+0.03+0.003+...$ Hence $S_n=\frac{0.3}{1-0.1}=\frac{1}{3}$
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