Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 11 - Section 11.4 - Partial Sums of Arithmetic and Geometric Sequences - Exercise Set: 12

Answer

$S_{5} =-25$

Work Step by Step

Sum of the first five negative odd integers. Sequence $-1,-3,-5,-7,-9$ is an arithmetic sequence $a_{1} = -1$ $a_{n} = -9$ To find sum of first five terms, substitute $a_{1},a_{n} $ and $n=5$ in $S_{n} = \frac{n}{2} (a_{1}+a_{n}) $ $S_{5} = \frac{5}{2} (-1-9) $ $S_{5} = \frac{5}{2} (-10) $ $S_{5} =-25$
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