## Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley

# Chapter 13 - Sequences and Series - 13.1 Sequences - Exercises and Problems for Section 13.1 - Exercises and Problems - Page 539: 10

#### Answer

Geometric sequence.

#### Work Step by Step

In order for a sequence to be geometric, the quotient of all consecutive terms must be constant. Here: $\frac{a_2}{a_1}=\frac{-1}{2}=-0.5$ $\frac{a_3}{a_2}=\frac{1/2}{-1}=-0.5$ $\frac{a_4}{a_3}=\frac{-1/4}{1/2}=-0.5$ $\frac{a_4}{a_3}=\frac{1/8}{-1/4}=-0.5$ Thus we can see that the quotient is constant, thus it is a geometric sequence.

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