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: 6


Not an arithmetic sequence.

Work Step by Step

In order for a sequence to be arithmetic, the difference of all consecutive terms must be constant. Here: $a_2-a_1=-1-1=-2$ $a_3-a_2=2-(-1)=3$ $a_4-a_3=-2-2=-4$ Thus we can see that the difference is not constant, thus it is not an arithmetic sequence.
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