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: 52


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

Work Step by Step

We are given that $ a_n=n-3$ Here, we have the first four terms $ a_1=-2, a_2=-1,a_3=0,a_4=1$ when $ n=1,2,3,4$ Now, subtract each two consecutive terms as below: $ a_2-a_1=-1+2=1; a_3-a_2=0+1=1; a_4-a_3=1-0=1$ We can see that this is an arithmetic sequence and the common difference is $ d=1$.
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