Answer
$\left\{
-12, -2,8,18,28
\right\}
$
Work Step by Step
With $a_1=-12$ and $d=10$, then
\begin{array}{l}
a_{1}=-12
,\\\\
a_2=a_1+d\\
a_2=-12+10\\
a_2=-2
,\\\\
a_3=a_2+d\\
a_3=-2+10\\
a_3=8
,\\\\
a_4=a_3+D\\
a_4=8+10\\
a_4=18
,\\\\
a_5=a_4+d\\
a_5=18+10\\
a_5=28
.\end{array}
Hence, the first 5 terms are $
\left\{
-12, -2,8,18,28
\right\}
.$