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: 10


It is a geometric sequence. $r=0.2$

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: $\frac{a_2}{a_1}=\frac{1}{5}=0.2$ $\frac{a_3}{a_2}=\frac{0.2}{16}=0.2$ $\frac{a_4}{a_3}=\frac{0.04}{0.2}=0.2$ It is a geometric sequence. Common ratio: $r=0.2$
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