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: 13


Yes, the sequence is geometric.The common ratio is $\frac{3}{4}$

Work Step by Step

You have the sequence:256,192,144 and 108. Find the common ratio by using the formula: R=$\frac{a2}{a1}$=$\frac{a4}{a3}$.Plug in the values: r=$\frac{192}{256}$=$\frac{3}{4}$ r=$\frac{108}{144}$=$\frac{3}{4}$ There is a common ratio, r=$\frac{3}{4}$. So the sequence is geometric.
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