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: 6

Answer

$S_4=-40$

Work Step by Step

Using $S_n=\dfrac{n}{2}(2a_1+(n-1)d)$, the sum of the first $ 4 $ terms of the sequence $ -4,-8,-12,... $ is \begin{array}{l} S_4=\dfrac{4}{2}(2\cdot(-4)+(4-1)(-4))\\\\ S_4=2(-8-12)\\\\ S_4=-40 .\end{array}
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