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: 32

Answer

See below.

Work Step by Step

$a_n=\frac{1}{2}\cdot(\frac{1}{2})^{n-1}$ thus $a_1=\frac{1}{2}\cdot(\frac{1}{2})^{1-1}=\frac{1}{2}\cdot1=\frac{1}{2}$ $a_2=\frac{1}{2}\cdot(\frac{1}{2})^{2-1}=\frac{1}{2}\cdot\frac{1}{2}=\frac{1}{4}$ $a_3=\frac{1}{2}\cdot(\frac{1}{2})^{3-1}=\frac{1}{2}\cdot\frac{1}{4}=\frac{1}{8}$ $a_4=\frac{1}{2}\cdot(\frac{1}{2})^{4-1}=\frac{1}{2}\cdot\frac{1}{8}=\frac{1}{16}$ $a_5=\frac{1}{2}\cdot(\frac{1}{2})^{5-1}=\frac{1}{2}\cdot\frac{1}{16}=\frac{1}{32}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.