College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 9 - Section 9.2 - Arithmetic Sequences - 9.2 Assess Your Understanding: 9

Answer

common difference = 2 The first four terms are: $-3, -1, 1, 3$

Work Step by Step

To find the first four terms, substitute $1, 2, 3, 4$ for $n$ in the given formula. $a_1 = 2(1)-5 = 2-5=-3$ $a_2=2(2)-5=4-5=-1$ $a_3 = 2(3) - 5 = 6-5 = 1$ $a_4 = 2(4) - 5 = 8 - 5 = 3$ The terms increase by $2$ units, so the sequence is arithmetic with a common difference of $2$.
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