University Calculus: Early Transcendentals (3rd Edition)

Published by Pearson
ISBN 10: 0321999584
ISBN 13: 978-0-32199-958-0

Chapter 9 - Section 9.2 - Infinite Series - Exercises - Page 497: 10

Answer

$4$

Work Step by Step

Here, $a=5, r=-\dfrac{1}{4}$ The sum of a geometric series can be found as: $S=\dfrac{a}{1-r}=\dfrac{5}{1-(-\dfrac{1}{4})}=\dfrac{5}{\dfrac{5}{4}}=4$
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