Algebra 2 (1st Edition)

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

Chapter 12 Sequences and Series - 12.1 Define and Use Sequences and Series - 12.1 Exercises - Skill Practice - Page 798: 44


$\displaystyle \sum_{n=1}^{\infty}(n^{2}-2)$

Work Step by Step

We first start with the perfect squares: 1, 4, 9, 16, 25, ... $\qquad $(squares of 1,2,3,...) Starting with n=1, the terms in the sum are $a_{n}=n^{2}-2$, and there is no upper limit on n. Sum = $\displaystyle \sum_{n=1}^{\infty}(n^{2}-2)$
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