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: 11

Answer

$S_{4}=16$

Work Step by Step

Using $S_n=\dfrac{n}{2}(2a_1+(n-1)d)$, the sum of $ 1,3,5,7 $ is \begin{array}{l} S_{4}=\dfrac{4}{2}(2\cdot(1)+(4-1)(2))\\\\ S_{4}=2(2+6)\\\\ S_{4}=2(8)\\\\ S_{4}=16 .\end{array}
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