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: 16


$a_1=6$ $a_2=-\frac{3}{2}$ $a_3=\frac{3}{8}$ $a_4=-\frac{3}{32}$ $a_5=\frac{3}{128}$

Work Step by Step

$a_n=a_1r^{n-1}$ $a_1=6,~~r=-\frac{1}{4}$ $a_2=6(\frac{1}{4})^{2-1}=6(-\frac{1}{4})^1=-\frac{6}{4}=-\frac{3}{2}$ $a_3=6(\frac{1}{4})^{3-1}=6(-\frac{1}{4})^2=\frac{6}{16}=\frac{3}{8}$ $a_4=6(\frac{1}{4})^{4-1}=6(-\frac{1}{4})^3=-\frac{6}{64}=-\frac{3}{32}$ $a_5=6(\frac{1}{4})^{5-1}=6(-\frac{1}{4})^4=\frac{6}{256}=\frac{3}{128}$
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