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: 26

Answer

$a_{10}=-\frac{1}{4096}$

Work Step by Step

$a_n=a_1r^{n-1}$ $a_1=64,~~r=-\frac{1}{4}$ $a_{10}=64(-\frac{1}{4})^{10-1}=64(-\frac{1}{4})^{9}=64(-\frac{1}{262144})=-\frac{1}{4096}$
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