Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 11 - Section 11.2 - Arithmetic Sequences - Exercise Set: 21

Answer

$a_{200} = 955$

Work Step by Step

RECALL: The $n^{th}$ term, $a_n$, of an arithmetic sequence can be found using the formula: $a_n=a_1 + d(n-1)$ where $a_1$ = first term $n$ = term number $d$ = common difference Use the formula with $a_1=-40$ and $d=5$ to obtain: $a_{200} = -40 + 5(200-1) \\a_{200}= -40 + 5(199) \\a_{200} = -40 + 995 \\a_{200} = 955$
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