Answer
$\frac{1}{9}$
Work Step by Step
$0.111...=1(0.1)+1(0.1)^2+...=\frac{a_1}{1-r}=\frac{1(0.1)}{1-0.1}=\frac{0.1}{0.9}=\frac{1}{9}$
Algebra 2 (1st Edition)
by Larson, Ron; Boswell, Laurie; Kanold, Timothy D.; Stiff, Lee
Published by
McDougal Littell
ISBN 10:
0618595414
ISBN 13:
978-0-61859-541-9
Chapter 12 Sequences and Series - Chapter Test - Page 843: 21
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