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 - Exercise Set 8.3 - Page 740: 52

Answer

The given sequence is arithmetic sequence and the common difference = 1.

Work Step by Step

The given general term is $a_{n}$ = n - 3 First term $a_{1}$ = -2 (if n=1) Second term $a_{2}$ = -1 (if n=2) Third term $a_{3}$ = 0 (if n=3) Forth term $a_{4}$ = 1 (if n=4) Difference of consecutive terms. 1 - 0 = 1. 0 - (-1) = 1. (-1) - (-2) = 1. From above we observe that the difference between two consecutive terms is constant. So the given sequence is arithmetic sequence and the common difference = 1.
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