likovnihuj
2022-09-23
Answered

How do you write the first five terms of the sequence $a}_{n}=\frac{n+2}{n$?

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xjiaminhoxy4

Answered 2022-09-24
Author has **9** answers

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 $\{3,2,\frac{5}{3},\frac{3}{2},\frac{7}{5}\}$

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 $\{3,2,\frac{5}{3},\frac{3}{2},\frac{7}{5}\}$

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