Answer
$\left\{
45,15,5,\dfrac{5}{3},\dfrac{5}{9}
\right\}
$
Work Step by Step
With $a_1=45$ and $r=\dfrac{1}{3}$, then
}\begin{array}{l}
a_{1}=45
,\\\\
a_2=a_1r\\
a_2=45\left( \dfrac{1}{3} \right)\\
a_2=15
,\\\\
a_3=a_2r\\
a_3=15\left( \dfrac{1}{3} \right)\\
a_3=5
,\\\\
a_4=a_3r\\
a_4=5\left( \dfrac{1}{3} \right)\\
a_4=\dfrac{5}{3}
,\\\\
a_5=a_4r\\
a_5=\dfrac{5}{3}\left( \dfrac{1}{3} \right)\\
a_5=\dfrac{5}{9}
.\end{array}
Hence, the first 5 terms are $
\left\{
45,15,5,\dfrac{5}{3},\dfrac{5}{9}
\right\}
$
