Algebra 2 Common Core

Published by Prentice Hall
ISBN 10: 0133186024
ISBN 13: 978-0-13318-602-4

Chapter 9 - Sequences and Series - 9-3 Geometric Sequences - Practice and Problem-Solving Exercises - Page 584: 13

Answer

Geometric with a common ratio of $-\frac{1}{3}$.

Work Step by Step

Check if there is a common ratio by diving two consecutive terms: $\dfrac{-6}{18}$ $=-\dfrac{1}{3}$; $\dfrac{2}{-6}$ $=-\dfrac{1}{3}$ ; $\dfrac{-{\dfrac{2}{3}}}{2}$ $=-\dfrac{1}{3}$. The ratio is constant so this is geometric.The common ratio is $-\dfrac{1}{3}$
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