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: 17


$a_{5}=a_{1}\times r^{4}=-\dfrac {4}{3}\times 3^{4}=-108;$ $a_{n}=a_{1}\times \left( r\right) ^{n-1}=-\dfrac {4}{3}\times 3^{n-1}$

Work Step by Step

$a_{2}-u_{1}\times r\Rightarrow -4=a_{1}\times 3\Rightarrow a_{1}=-\dfrac {4}{3};a_{5}=a_{1}\times r^{4}=-\dfrac {4}{3}\times 3^{4}=-108;a_{n}=a_{1}\times \left( r\right) ^{n-1}=-\dfrac {4}{3}\times 3^{n-1}$
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