Answer
$\frac{1}{4},\frac{1}{10},\frac{1}{28},\frac{1}{82},\frac{1}{244}$
Work Step by Step
$a_{n}=\frac{1}{3^{n}+1}$
Substitute $1,2,3,4,5$ to $n$:
$a_{1}=\frac{1}{3^{1}+1}=\frac{1}{4}$
$a_{2}=\frac{1}{3^{2}+1}=\frac{1}{10}$
$a_{3}=\frac{1}{3^{3}+1}=\frac{1}{28}$
$a_{4}=\frac{1}{3^{4}+1}=\frac{1}{82}$
$a_{5}=\frac{1}{3^{5}+1}=\frac{1}{244}$