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 798: 43


$\displaystyle \sum_{n=1}^{7}\frac{n}{n+3}$

Work Step by Step

There are seven terms (we count through numerators, starting with 1) ( $\displaystyle \sum_{n=1}^{7}a_{n}$ ) in which the numerator of the n-th term is $n,$ and the denominator is $n+3$. So, $a_{n}=\displaystyle \frac{n}{n+3}$ Sum = $\displaystyle \sum_{n=1}^{7}\frac{n}{n+3}$
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