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: 18

Answer

$a_{16}=39$

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 $a_1=9$ and $d=2$ to obtain: $a_{16} = 9 + 2(16-1) \\a_{16}= 9 + 2(15) \\a_{16} = 9 + 30 \\a_{16} = 39$
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