Algebra and Trigonometry 10th Edition

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

Chapter 11 - 11.1 - Sequences and Series - 11.1 Exercises - Page 777: 12

Answer

$a_1=\frac{1}{2}$ $a_2=\frac{1}{4}$ $a_3=\frac{1}{8}$ $a_4=\frac{1}{16}$ $a_5=\frac{1}{32}$

Work Step by Step

$a_n=(\frac{1}{2})^n$ $a_1=(\frac{1}{2})^1=\frac{1}{2^1}=\frac{1}{2}$ $a_2=(\frac{1}{2})^2=\frac{1}{2^2}=\frac{1}{4}$ $a_3=(\frac{1}{2})^3=\frac{1}{2^3}=\frac{1}{8}$ $a_4=(\frac{1}{2})^4=\frac{1}{2^4}=\frac{1}{16}$ $a_5=(\frac{1}{2})^5=\frac{1}{2^5}=\frac{1}{32}$
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