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: 57

Answer

$4$

Work Step by Step

$\sum ^{\infty }_{i=1}3\left( \dfrac {1}{4}\right) ^{i-1}=\dfrac {a_{1}}{1-r};a_{1}=3\times \left( \dfrac {1}{4}\right) ^{1-1}=3;r=\dfrac {1}{4}\Rightarrow S_{\infty }=\dfrac {3}{1-\dfrac {1}{4}}=4$
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