Calculus 8th Edition

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

Appendix E - Sigma Notation - E Exercises: 15

Answer

$\sum_{i=1}^{n}2i$

Work Step by Step

We contract the sum into sigma notation by noting that it follows the pattern of a sum of even integers (e.g. $2i$), starting with $2$ (e.g. $i=1$), and ending with $2n$ (e.g. $i=n$). $2+4+6+8+\displaystyle \cdots+2n=\sum_{i=1}^{n}2i$
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