## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 11 - 11.3 - Geometric Sequences and Series - 11.3 Exercises - Page 795: 9

#### 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: $\frac{a_2}{a_1}=\frac{\frac{1}{2}}{1}=\frac{1}{2}$ $\frac{a_3}{a_2}=\frac{\frac{1}{3}}{\frac{1}{2}}=\frac{1}{3}.\frac{2}{1}=\frac{2}{3}$ It is not a geometric sequence.

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