Answer
$a_1 =3
\\a_2= \dfrac{9}{2}
\\a_3=9
\\a_4=\dfrac{81}{4}
\\a_5= \dfrac{243}{5}$
Work Step by Step
We are given that {$a_n$} $= \dfrac{3^n}{n}$
In order to determine the first five terms, we will have to substitute $n=1,2,3,4,5$ into the given sequence {$a_n$}:
$a_1 = \dfrac{(3)^1}{1}=\dfrac{3}{1}=3
\\a_2= \dfrac{(3)^2}{2}=\dfrac{9}{2}
\\a_3= \dfrac{(3)^3}{3}=\dfrac{27}{3}=9
\\a_4= \dfrac{(3)^4}{4}=\dfrac{81}{4}
\\a_5= \dfrac{(3)^5}{5}=\dfrac{243}{5}$