Question

Find the first four terms of the given sequence tn = n/(n+1).
A. ½, 2/3, ¾, 4/5
B. 1, ½, 1/3, ¼
C. 1, ½, 2/3, ¾
D. 1, 2, 3, 4

Answer 1

Plug in 1, 2, 3,and 4 for n
$t_n=\frac{n}{n+1} \\ \\ t_1=\frac{1}{1+1}=\frac{1}{2} \\ \\ t_2=\frac{2}{2+1}=\frac{2}{3} \\ \\ t_3=\frac{3}{3+1}=\frac{3}{4} \\ \\ t_4=\frac{4}{3+1}=\frac{4}{5}$

A