Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 11 - Further Topics in Algebra - 11.3 Geometric Sequences and Series - 11.3 Exercises: 58

Answer

$4$

Work Step by Step

$\sum ^{\infty }_{i=1}5\left( -\dfrac {1}{4}\right) ^{i-1}=\dfrac {a_{1}}{1-r};a_{1}=5\times \left( \dfrac {-1}{4}\right) ^{1-1}=5;r=\left( -\dfrac {1}{4}\right) \Rightarrow S_{\infty }=\dfrac {5}{1-\left( -\dfrac {1}{4}\right) }=4$
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