Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.3 - Geometric Sequences and Series - 11.3 Exercises - Page 796: 79



Work Step by Step

$0.363636...=0.36+0.0036+0.000036+...=0.36(0.01)^0+0.36(0.01)^1+0.36(0.01)^2+...$ $a_1=0.36$ $r=\frac{a_1}{a_2}=\frac{0.36(0.01)^2}{0.36(0.01)^0}=0.01$ $0.363636...=S=\frac{a_1}{1-r}=\frac{0.36}{1-0.01}=\frac{0.36}{0.99}=\frac{4}{11}$
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