College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Summary, Review, and Test - Review Exercises - Page 789: 33

Answer

See below.

Work Step by Step

$a_n=16\cdot(-\frac{1}{2})^{n-1}$ thus $a_1=16\cdot(-\frac{1}{2})^{1-1}=16\cdot1=16$ $a_2=16\cdot(-\frac{1}{2})^{2-1}=16\cdot-\frac{1}{2}=-8$ $a_3=16\cdot(-\frac{1}{2})^{3-1}=16\cdot\frac{1}{4}=4$ $a_4=16\cdot(-\frac{1}{2})^{4-1}=16\cdot-\frac{1}{8}=-2$ $a_5=16\cdot(-\frac{1}{2})^{5-1}=16\cdot\frac{1}{16}=1$
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