Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 11 - Further Topics in Algebra - 11.3 Geometric Sequences and Series - 11.3 Exercises - Page 1033: 2

Answer

$$r = - \frac{1}{5}$$

Work Step by Step

$$\eqalign{ & {\text{Let the sequence }} - 25,\,\,5,\,\, - 1,\,\,\frac{1}{5},\,\,... \cr & {a_1} = - 25,\,\,\,{a_2} = 5 \cr & {\text{The common ratio is }} \cr & r = \frac{{{a_2}}}{{{a_1}}} = \frac{5}{{ - 25}} \cr & {\text{Simplifying}} \cr & r = - \frac{1}{5} \cr} $$
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