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: 37


$\sum\limits_{i =1}^{n}c=nc$

Work Step by Step

Theorem 3(b) defines as $\sum\limits_{i =1}^{n}c=nc$ The left side can be written as $\sum\limits_{i =1}^{n}c=c+c+c+c+c....+c$ (n- times) Since $c$ has been added n-times, it can be generally multiplied by $n$ as $nc$. Hence, $\sum\limits_{i =1}^{n}c=nc$
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