College Algebra (10th Edition)

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

Chapter 9 - Section 9.1 - Sequences - 9.1 Assess Your Understanding: 16

Answer

The first five terms are: $2, 5, 10, 17, 26$

Work Step by Step

The term is equal to $n^2+1$. For each term that is in the sequence, we plug in the given value for $n$: $s_1 = 1^2+1 = 1+1 = 2; \\s_2= 2^2+1 = 4+1 = 5; \\s_3= 3^2+1 = 9+1 = 10; \\s_4= 4^2+1 = 16+1 = 17; \\s_4= 5^2+1 = 25+1 = 26$
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