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 - Page 658: 10

Answer

$S_{8}=-36$

Work Step by Step

Using $S_n=\dfrac{n}{2}(2a_1+(n-1)d)$, the sum of $ -1,-2,-3,...,-8 $ is \begin{array}{l} S_{8}=\dfrac{8}{2}(2\cdot(-1)+(8-1)(-1))\\\\ S_{8}=4(-2+-7)\\\\ S_{8}=4(-9)\\\\ S_{8}=-36 .\end{array}
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