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 - Page 1034: 22


$a_{5}=a_{1}\times r^{4}=-2\times \left( -3\right) ^{4}=-162;$ $a_{n}=a_{1}\times r^{n-1}=-2\times \left( -3\right) ^{n-1}$

Work Step by Step

$r=\dfrac {54}{-18}=\dfrac {-18}{6}=\dfrac {6}{-2}=-3;a_{1}=-2\Rightarrow a_{5}=a_{1}\times r^{4}=-2\times \left( -3\right) ^{4}=-162;a_{n}=a_{1}\times r^{n-1}=-2\times \left( -3\right) ^{n-1}$
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