Answer
$\frac{7}{9}$
Work Step by Step
$0.777...=7(0.1)+7(0.1)^2+...=\frac{a_1}{1-r}=\frac{7(0.1)}{1-0.1}=\frac{0.7}{0.9}=\frac{7}{9}$
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 - 12.5 Use Recursive Rules with Sequences and Functions - 12.5 Exercises - Quiz for Lessons 12.4-12.5 - Page 833: 4
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