Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 11 - Sequences; Induction; the Binomial Theorem - Section 11.1 Sequences - 11.1 Assess Your Understanding - Page 827: 59

Answer

$\sum_{k=1}^{20}k$

Work Step by Step

We need to compute summation formula for the $1+2+3+.......+20$ We see that there are $20$ positive terms, take it as index $k$. When $k=1$, the first term is $1$ and for $k=2$ , the second term is $2$. Thus, we write the summation formula as follows: $1+2+3+\displaystyle ......+20=\sum_{k=1}^{20}k$
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