Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 9 - Conic Sections, Sequences, and Series - 9.5 Series - 9.5 Exercises - Page 746: 3

Answer

$9+11+13+15+17=65$.

Work Step by Step

We need to sum the first five terms of the sequence whose general term is $a_{n}=2n+7$. This yields $\sum\limits^{5}_{n=1}(2n+7)=[2(1)+7]+[2(2)+7]+[2(3)+7]+[2(4)+7]+[2(5)+7]$ $=9+11+13+15+17=65$
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