Answer
$3,\dfrac{9}{2},9,\dfrac{81}{4},\dfrac{243}{5}$
Work Step by Step
We are given the sequence:
$\{a_n\}=\left\{\dfrac{3^n}{n}\right\}$
Determine the first 5 terms of the sequence by substituting 1, 2, 3, 4, 5 for $n$:
$a_1=\dfrac{3^1}{1}=\dfrac{3}{1}=3$
$a_2=\dfrac{3^2}{2}=\dfrac{9}{2}$
$a_3=\dfrac{3^3}{3}=\dfrac{27}{3}=9$
$a_4=\dfrac{3^4}{4}=\dfrac{81}{4}$
$a_5=\dfrac{3^5}{5}=\dfrac{243}{5}$