Answer
$\dfrac {1000}{9}=111.111\ldots $
Work Step by Step
$r=\dfrac {1}{10}=\dfrac {10}{100}=\dfrac {1}{10}\Rightarrow S_{\infty }=\dfrac {a_{1}}{1-r}=\dfrac {100}{1-\dfrac {1}{10}}=\dfrac {1000}{9}=111.111\ldots $
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 11 - Further Topics in Algebra - 11.3 Geometric Sequences and Series - 11.3 Exercises - Page 1035: 54
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