Calculus 8th Edition

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

Appendix E - Sigma Notation - E Exercises - Page A38: 18



Work Step by Step

We contract the sum into sigma notation by noting that it follows the pattern of a sum of fractions with 1 on top and squares of integers on the bottom (e.g. $\frac{1}{i^2}$), starting with $\frac{1}{1}$ (e.g. $i=1$), and ending with $\frac{1}{36}$ (e.g. $i=6$). $\displaystyle \frac{1}{1}+\frac{1}{4}+\frac{1}{9}+\frac{1}{16}+\frac{1}{25}+\frac{1}{36}=\sum_{i=1}^{6}\frac{1}{i^{2}}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.