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: 56

Answer

Neither

Work Step by Step

We are given that $ a_n=n^2-3$ Here, we have the first four terms $ a_1=-2, a_2=1,a_3=6,a_4=13$ when $ n=1,2,3,4$ Now, subtract each two consecutive terms as below: $ a_2-a_1=1+2=3; a_3-a_2=6-1=5; a_4-a_3=13-6=7$ and $ a_2/a_1=\dfrac{-1}{2}; a_3/a_2=6; a_4/a_3=\dfrac{13}{6}$ It has been seen that we did not get the same constant, so the sequence is neither geometric nor arithmetic.
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