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Q 19.

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Found in: Page 808

### Precalculus Enhanced with Graphing Utilities

Book edition 6th
Author(s) Sullivan
Pages 1200 pages
ISBN 9780321795465

# In Problems 17–28, write down the first five terms of each sequence.$\left\{{a}_{n}\right\}=\left\{\frac{n}{n+2}\right\}$

The first five terms of the sequence are$\frac{1}{3},\frac{2}{4},\frac{3}{5},\frac{4}{6},\frac{5}{7}$

See the step by step solution

## Step 1. Write the given information.

The given sequence is $\left\{{a}_{n}\right\}=\left\{\frac{n}{n+2}\right\}$

## Step 2. Find the five terms.

To find the five terms in the sequence we substitute $1,2,3,4and5inton$

$\left\{{a}_{1}\right\}=\frac{1}{1+2}=\frac{1}{3}\phantom{\rule{0ex}{0ex}}\left\{{a}_{2}\right\}=\frac{2}{2+2}=\frac{2}{4}\phantom{\rule{0ex}{0ex}}\left\{{a}_{3}\right\}=\frac{3}{3+2}=\frac{3}{5}\phantom{\rule{0ex}{0ex}}\left\{{a}_{4}\right\}=\frac{4}{4+2}=\frac{4}{6}\phantom{\rule{0ex}{0ex}}\left\{{a}_{5}\right\}=\frac{5}{5+2}=\frac{5}{7}$