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: 42

Answer

It is not a geometric sequence.

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: $\frac{a_2}{a_1}=\frac{\frac{2}{5}}{\frac{1}{4}}=\frac{2}{5}\frac{4}{1}=\frac{8}{5}$ $\frac{a_3}{a_2}=\frac{\frac{3}{6}}{\frac{2}{5}}=\frac{3}{6}\frac{5}{2}=\frac{15}{12}=\frac{5}{4}$ It is not a geometric sequence.
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