Question

Find the first five terms of the sequence whise $n^{th}$ is given as:

$t_n=\frac{1}{n+1}$

• A. $\frac{1}{8},\frac{1}{3},\frac{1}{4},\frac{1}{5},\frac{1}{6}$
• B. $\frac{1}{2},\frac{1}{3},\frac{1}{9},\frac{1}{5},\frac{1}{6}$
• C. $\frac{1}{2},\frac{1}{3},\frac{1}{11},\frac{1}{5},\frac{1}{6}$
• D. $\frac{1}{2},\frac{1}{3},\frac{1}{4},\frac{1}{5},\frac{1}{6}$

Answer 1

The correct option is D $\frac{1}{2},\frac{1}{3},\frac{1}{4},\frac{1}{5},\frac{1}{6}$

Since $t_n=\frac{1}{n+1}$
$\therefore t_1=\frac{1}{1+1}=\frac{1}{2}$
$t_2=\frac{1}{2+1}=\frac{1}{3}$
$t_3=\frac{1}{3+1}=\frac{1}{4}$
$t_4=\frac{1}{4+1}=\frac{1}{5}$
$t_5=\frac{1}{5+1}=\frac{1}{6}$