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: 8


It is a geometric sequence. $r=-\frac{1}{3}$

Work Step by Step

A sequence is geometric if $\frac{a_2}{a_1}=\frac{a_3}{a_2}=\frac{a_4}{a_3}=...=r$ For the given sequence we have that: $\frac{a_2}{a_1}=\frac{-9}{27}=-\frac{1}{3}$ $\frac{a_3}{a_2}=\frac{3}{-9}=-\frac{1}{3}$ $\frac{a_4}{a_3}=\frac{-1}{3}=-\frac{1}{3}$ It is a geometric sequence. Common ratio: $r=-\frac{1}{3}$
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