Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 12 - Section 12.3 - Geometric Sequences - 12.3 Exercises - Page 865: 17

Answer

Yes the terms can be part of a geometric sequence. The common ratio is $\frac{1}{2}$

Work Step by Step

The terms are 3, $\frac{3}{2}$, $\frac{3}{4}$, $\frac{3}{8}$ Since each term is multiplied by $\frac{1}{2}$ (the common ratio) to get to the next term, the sequence can be part of an arithmetic sequence.
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