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: 34



Work Step by Step

$a_1=81$ $r=\frac{a_2}{a_1}=\frac{a_3}{a_2}$ $r=\frac{27}{81}=\frac{9}{27}=\frac{1}{3}$ $a_n=a_1r^{n-1}$ $a_n=81(\frac{1}{3})^{n-1}=81(\frac{1}{3})^n(\frac{1}{3})^{-1}=81(\frac{1}{2})^n(3)=243(\frac{1}{3})^n$
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