Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - 12.1 Define and Use Sequences and Series - 12.1 Exercises - Skill Practice - Page 799: 52


$\displaystyle \frac{617}{140}$

Work Step by Step

$\displaystyle \sum_{k=1}^{6}\frac{k}{k+1}=$ $=\displaystyle \frac{1}{1+1}+\frac{2}{2+1}+\frac{3}{3+1}+\frac{4}{4+1}+\frac{5}{5+1}+\frac{6}{6+1}$ $=\displaystyle \frac{1}{2}+\frac{2}{3}+\frac{3}{4}+\frac{4}{5}+\frac{5}{6}+\frac{6}{7}$ $=\displaystyle \frac{210+280+315+336+350+360}{420}$ $=\displaystyle \frac{1851}{420}$ $=\displaystyle \frac{617}{140}$
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