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: 14

Answer

$\sum_{i=3}^{23}\frac{i}{i+4}$

Work Step by Step

We contract the sum into sigma notation by noting that it follows the pattern of a sum of fractions with integers 3-23 on top and a denominator increased by 4 (e.g. $\frac{i}{i+4}$): $\displaystyle \frac{3}{7}+\frac{4}{8}+\frac{5}{9}+\frac{6}{10}+\cdots+\frac{23}{27}=\sum_{i=3}^{23}\frac{i}{i+4}$
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