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: 40



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 $d=$ common difference Since, we have $d=1$ and $a_{100}=1+1(100-1)=100$ Then, our first (1) equation becomes: $S_{100}=\dfrac{100}{2}(2+200)=\dfrac{100}{2}(202)=10100$
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