Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - Mixed Review of Problem Solving - Lessons 12.1-12.3 - Page 818: 4


$0,2.5, 5,7.5, 10,12.5, 15,17.5$

Work Step by Step

The general formula for the sum of the nth term of an arithmetic series is given by $S_n= \dfrac{n}{2}(a_1+a_n)$ We know that $a_n=a_1+(n-1)d$ Thus, $S_n= \dfrac{n}{2}(2a_1+(n-1)d)$ $70= \dfrac{8}{2}(2(0)+(8-1)d)$ This gives: $d=2.5$ Thus, we have the arithmetic series is: $0,2.5, 5,7.5, 10,12.5, 15,17.5$
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