Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 11 - Section 11.2 - Arithmetic Sequences - Exercise Set - Page 840: 49

Answer

First three terms: $4,8,12$ last term: $400$ Sum of an arithmetic series: $20,200$

Work Step by Step

First three terms can be found as:$a_1=4(1)+0=4;a_2=8+0=8;a_3=12+0=12$ Last term can be found as: $a_{100}=400$ Sum of the an arithmetic series can be calculated by using formula $S_n=\dfrac{n}{2}(a_1+a_n)$ Here $n=40$ Thus, $S_{100}=\dfrac{100}{2}(404)=20,200$ our results are: First three terms: $4,8,12$ last term: $400$ Sum of an arithmetic series: $20,200$
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