Answer
$S_{30}=465$
Work Step by Step
The first 30 positive integers is an arithmetic sequence with $a_1=1$ and $a_n=30$. Using $S_n=\dfrac{n}{2}(a_1+a_n)$, then,
\begin{array}{l}
S_{30}=\dfrac{30}{2}(1+30)
\\
S_{30}=15(31)
\\
S_{30}=465
.\end{array}