Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - Review Exercises - Page 841: 41


It is a geometric sequence. $r=-3$

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: $\frac{a_2}{a_1}=\frac{-\frac{3}{5}}{\frac{1}{5}}=-\frac{3}{5}\frac{5}{1}=-3$ $\frac{a_3}{a_2}=\frac{\frac{9}{5}}{-\frac{3}{5}}=-\frac{9}{5}\frac{5}{3}=-3$ $\frac{a_4}{a_3}=\frac{-\frac{27}{5}}{\frac{9}{5}}=-\frac{27}{5}\frac{5}{9}=-3$ It is a geometric sequence. Common ratio: $r=-3$
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