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: 47

Answer

First three terms: $2,-1,-4$ last term: $-85$ Sum of the an arithmetic series: $-1245$

Work Step by Step

First three terms can be found as:$a_1=-3+5=2;a_2=-6+5=-1;a_3=-9+5=-4$ Last term can be found as: $a_{30}=-3(30)+5=-85$ Sum of the an arithmetic series can be calculated by using formula $S_n=\dfrac{n}{2}(a_1+a_n)$ Here $n=30$ Thus, $S_{30}=\dfrac{30}{2}(2-85)=-1245$ our results are: First three terms: $2,-1,-4$ last term: $-85$ Sum of the an arithmetic series: $-1245$
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