Answer
$\displaystyle \sum_{i=1}^{∞}(\frac{6}{10})^i=\frac{2}{3}$
Work Step by Step
$\displaystyle \sum_{i=1}^{∞}(\frac{6}{10})^i=\frac{6}{10}+\frac{6}{100}+\frac{6}{1000}+\frac{6}{10000}+...=0.6+0.06+0.006+0.0006+...=0.6666...=\frac{2}{3}$
Algebra and Trigonometry 10th Edition
by Larson, Ron
Published by
Cengage Learning
ISBN 10:
9781337271172
ISBN 13:
978-1-33727-117-2
Chapter 11 - 11.1 - Sequences and Series - 11.1 Exercises - Page 778: 93
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