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: 48


The graph labeled as (c) matches with $a_n=18(-\frac{2}{3})^{n-1}$

Work Step by Step

$a_n=a_1r^{n-1}$ $a_n=18(-\frac{2}{3})^{n-1}$ $a_1=18$ $r=-\frac{2}{3}$ Since $a_1\gt0$ and $-1\lt r\lt0$, the terms of the sequence are alternating between positive and negative with their absolute value decreasing.
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