Calculus 8th Edition

Published by Cengage
ISBN 10: 1285740629
ISBN 13: 978-1-28574-062-1

Appendix E - Sigma Notation - E Exercises - Page A38: 8

Answer

$n^{2}+(n+1)^{2}+(n+2)^{2}+(n+3)^{2}$

Work Step by Step

We expand the sigma notation by writing $j^{2}$ as $j$ increases from n to n+3: $\displaystyle \sum_{j=n}^{n+3}j^{2}=n^{2}+(n+1)^{2}+(n+2)^{2}+(n+3)^{2}$ (We could expand this, but this is not required of the problem.)
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