College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Concept and Vocabulary Check - Page 739: 9

Answer

The given sequence is a geometric sequence because the ratio of any two consecutive terms is constant. The common ratio = -3

Work Step by Step

The given sequence is = 1, -3, 9, -27, 81,...... This is a geometric sequence because the ratio of any two consecutive terms is constant. The common ratio = $\frac{81}{-27}$ = $\frac{-27}{9}$ = $\frac{9}{-3}$ = $\frac{-3}{1}$ = -3
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