Answer
The next three terms are 19, 22, and 25
Work Step by Step
7, 10, 13, 16,...
To get from 7 to 10, you add 3.
To get from 10 to 13, you add 3.
To get from 13 to 16, you add 3.
Each term is 3 more than the one before it, so:
16+3=19
19+3=22
22+3=25