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: 49

Answer

First three terms : $4,8,12$ ; Last Term :$400$ and Sum $20200$

Work Step by Step

Here, $a_n=4i$ Plug $i=1,2,3$, in the given equation. Then we have the first three terms are: $4,8,12$ Last term : $a_{100}=400$ The sum of an arithmetic sequence is given by: $S_n=\dfrac{n}{2}[a_1+a_n]$ or, $S_{100}=\dfrac{100}{2}[4+400]=20200$ Hence, First three terms : $4,8,12$ ; Last Term :$400$ and Sum $20200$
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