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 8.2: 72

Answer

Arithmetic sequence is a sequence of numbers or terms in which the difference between two consecutive numbers or terms is constant. Example- Consider the sequence of 7 terms = a , 5a, 9a, 13a, 17a, 21a, 25a.

Work Step by Step

Explanation- Consider the sequence of 7 terms = a , 5a, 9a, 13a, 17a, 21a, 25a. First term $a_{1}$ = a Difference between two consecutive terms = 25a - 21a = 21a - 17a = 17a - 13a = 13a - 9a = 9a - 5a = 5a - a = 4a From above we can see that the difference between two consecutive term is constant so it is a arithmetic sequence.
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