Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.3 - Geoetric Sequences and Series - Exercise Set - Page 1074: 51

Answer

Arithmetic sequence and the common difference is $ d=1$.

Work Step by Step

We are given that $ a_n=n+5$ Here, we have the first four terms: $ a_1=6, a_2=7,a_3=8,a_4=9$ when $ n=1,2,3,4$ Now, subtract each two consecutive terms: $ a_2-a_1=7-6=1; a_3=a_2=8-7=1; a_4-a_3=9-8=1$ We can see that this is an arithmetic sequence and the common difference is $ d=1$.
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