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: 7


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