Answer
The next three terms are $36,41,$ and $46$.
Work Step by Step
The given arithmetic sequence is
$16,21,26,31,...$
Each term is $5$ more than the previous term. so, the common difference is $5$.
The next three terms are
$31+5=36$
$36+5=41$
$41+5=46$
Hence, the next three terms are $36,41,$ and $46$.