Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 11 - 11.1 - Sequences and Series - 11.1 Exercises - Page 778: 86


$\displaystyle \sum_{i=1}^{10}\frac{1}{i·(i+2)}$

Work Step by Step

$\frac{1}{1·3}+\frac{1}{2·4}+\frac{1}{3·5}+...+\frac{1}{10·12}=\frac{1}{1·(1+2)}+\frac{1}{2·(2+2)}+\frac{1}{3·(3+2)}+...+\frac{1}{10·(10+2)}=\displaystyle \sum_{i=1}^{10}\frac{1}{i·(i+2)}$
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