Answer
$10$
Work Step by Step
$\sum ^{\infty }_{k=0}\left( 0.9\right) ^{k}=\dfrac {a_{1}}{1-r};a_{1}=\left( 0.9\right) ^{0}=1;r=0.9\Rightarrow S_{\infty }=\dfrac {a_{1}}{1-r}=\dfrac {1}{1-0.9}=10$
Calculus: Early Transcendentals (2nd Edition)
by Briggs, Bill L.; Cochran, Lyle; Gillett, Bernard
Published by
Pearson
ISBN 10:
0321947347
ISBN 13:
978-0-32194-734-5
Chapter 8 - Sequences and Infinite Series - 8.3 Infinite Series - 8.3 Exercises - Page 623: 21
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