Calculus: Early Transcendentals (2nd Edition)

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: 21

Answer

$10$

Work Step by Step

$\sum ^{\infty }_{k=0}\left( 0.9\right) ^{k}=\dfrac {a_{1}}{1-r};a_{1}=\left( 0.9\right) ^{0}=1;r=0.9\Rightarrow S_{\infty }=\dfrac {a_{1}}{1-r}=\dfrac {1}{1-0.9}=10$
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