Algebra 1: Common Core (15th Edition)

Published by Prentice Hall
ISBN 10: 0133281140
ISBN 13: 978-0-13328-114-9

Chapter 7 - Exponents and Exponential Functions - 7-8 Geometric Sequences - Practice and Problem-Solving Exercises - Page 470: 12

Answer

The common ratio is $1/3$

Work Step by Step

You have the sequence:162, 54, 18, 6.find the common ratio by using the formula: R=$\frac{a2}{a1}$,R=$\frac{a4}{a3}$.Plug in the values to get the ratios r=$\frac{54}{162}$=$\frac{1}{3}$ r=$\frac{6}{18}$=$\frac{1}{3}$ There is a common ratio, r=$\frac{1}{3}$. So the sequence is geometric.
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