Functions Modeling Change: A Preparation for Calculus, 5th Edition

Published by Wiley
ISBN 10: 1118583191
ISBN 13: 978-1-11858-319-7

Chapter 13 - Sequences and Series - 13.1 Sequences - Exercises and Problems for Section 13.1 - Exercises and Problems - Page 539: 11


Geometric sequence.

Work Step by Step

In order for a sequence to be geometric, the quotient of all consecutive terms must be constant. Here: $\frac{a_2}{a_1}=\frac{0.2}{2}=0.1$ $\frac{a_3}{a_2}=\frac{0.02}{0.2}=0.1$ $\frac{a_4}{a_3}=\frac{0.002}{0.02}=0.1$ Thus we can see that the quotient is constant, thus it is a geometric sequence.
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