Question

Write down the sequence whose $n^{th}$ term is $\frac{2^n}{n}$

Answer 1

Let $t_n=\frac{2^n}{n}$
Put $n=1,2,3,4,...$ we get
$t_1=2,t_2=2,t_3=\frac{8}{3},t_4=4$
so the sequence is $2,2,\frac{8}{3},4,...$