College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 8, Sequences and Series - Section 8.3 - Geometric Sequences - 8.3 Exercises: 21

Answer

The sequence is geometric. The common ratio is $r=1.1$.

Work Step by Step

A geometric sequence has a common ratio $r$. The common ratio is multiplied to the current term to get the next term of the sequence. The common ratio is equal to the the quotient of a term and the term before it. Solve for the ratio of each pair of consecutive terms to obtain: $\dfrac{1.1}{1.0} = 1.1 \\\dfrac{1.21}{1.1}=1.1 \\\dfrac{1.331}{1.21} =1.1$ The consecutive terms have a common ratio so the sequence is geometric. The common ratio is $r=1.1$.
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