Precalculus (6th Edition) Blitzer

Published by Pearson
ISBN 10: 0-13446-914-3
ISBN 13: 978-0-13446-914-0

Chapter 10 - Section 10.2 - Arithmetic Sequences - Exercise Set - Page 1059: 44



Work Step by Step

Formula to calculate the sum of an arithmetic sequence is: $S_n=\dfrac{n}{2}(a_1+a_n)$ ...(1) Here, $a_1: $ First term and $a_n=$last term and $a_1: $ First odd term is 31 and $a_n$:last term is 53, thus the total odd terms are $12$.Then use equation (1) to get the sum of the sequence. Thus, $S_{12}=\dfrac{12}{2}(31+53)\\=6(84)\\=504$
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