Calculus: Early Transcendentals 8th Edition

Published by Cengage Learning
ISBN 10: 1285741552
ISBN 13: 978-1-28574-155-0

APPENDIX E - Sigma Notation - E Exercises - Page A 38: 19


$\displaystyle \sum_{i=1}^{n}x^{i}$

Work Step by Step

We contract the sum into sigma notation by noting that it follows the pattern of a sum of powers of $x$ (e.g. $x^i$), starting with $x$ (e.g. $i=1$) and ending with $x^n$ (e.g. $i=n$): $x+x^{2}+x^{3}+\displaystyle \cdots+x^{n}=\sum_{i=1}^{n}x^{i}$
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