Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.3 - Geometric Sequences and Series - 11.3 Exercises - Page 795: 21


$a_1=2$ $a_2=6x$ $a_3=18x^2$ $a_4=54x^3$ $a_5=162x^4$

Work Step by Step

$a_n=a_1r^{n-1}$ $a_1=2,~~r=3x$ $a_2=2(3x)^{2-1}=2(3x)=6x$ $a_3=2(3x)^{3-1}=2(3x)^2=2(9x^2)=18x^2$ $a_4=2(3x)^{4-1}=2(3x)^3=2(27x^3)=54x^3$ $a_5=2(3x)^{5-1}=2(3x)^4=2(81x^4)=162x^4$
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