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: 18

Answer

Not a geometric sequence

Work Step by Step

Check if there is a common ratio by diving two consecutive terms: $\dfrac{1/4}{1/2}$ $=\dfrac{1}{2}$; $\dfrac{1/6}{1/4}$ $=\dfrac{2}{3}$ ; $\dfrac{1/8}{1/6}$ $=\dfrac{3}{4}$. The ratio is not constant so the sequence is not geometric.
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