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: 25

Answer

$a_{12}=-\frac{2}{59049}$

Work Step by Step

$a_n=a_1r^{n-1}$ $a_1=6,~~r=-\frac{1}{3}$ $a_{12}=6(-\frac{1}{3})^{12-1}=6(-\frac{1}{3})^{11}=6(-\frac{1}{177147})=-\frac{2}{59049}$
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