# How do you write the first five terms of the sequence a_n=(n+2)/n?

Feb 14, 2017

First five terms are $\left\{3 , 2 , \frac{5}{3} , \frac{3}{2} , \frac{7}{5}\right\}$

#### Explanation:

To find the first five terms of the sequence ${a}_{n} = \frac{n + 2}{n}$, we need to put value of $n$ from $1$ to $5$.

Thus ${a}_{1} = \frac{1 + 2}{1} = \frac{3}{1} = 3$

${a}_{2} = \frac{2 + 2}{2} = \frac{4}{2} = 2$

${a}_{3} = \frac{3 + 2}{3} = \frac{5}{3}$

${a}_{4} = \frac{4 + 2}{4} = \frac{6}{4} = \frac{3}{2}$

${a}_{5} = \frac{5 + 2}{5} = \frac{7}{5}$

Hence, the first five terms are $\left\{3 , 2 , \frac{5}{3} , \frac{3}{2} , \frac{7}{5}\right\}$