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: 23

Answer

$a_{10}=\frac{1}{128}$

Work Step by Step

$a_n=a_1r^{n-1}$ $a_1=4,~~r=\frac{1}{2}$ $a_{10}=4(\frac{1}{2})^{10-1}=4(\frac{1}{2})^9=4.\frac{1}{512}=\frac{1}{128}$
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