Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 4 - Integration - 4.4 The Definition Of Area As A Limit; Sigma Notation - Exercises Set 4.4 - Page 297: 9

Answer

\begin{align} \sum_{k=1}^{50} 2k = 2 +4+6+... + 98+100 \end{align}

Work Step by Step

We can represent the even integers as 2k. Thus, the sum of the even integers from 2 to 100 can be represented in sigma notation as: \begin{align} \sum_{k=1}^{50} 2k = 2 +4+6+... + 98+100 \end{align}
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