2,3,5,7,11... What is the inductive reasoning?

Answer 1

these numbers are all primes. Using that pattern, the sequence continues with
13,17,23,29,...

Or, you could say that the numbers differ by
1,2,2,4,...
So, the pattern of differences could be
1 1, 2 2's, 4 4's, 6 6's, ... and the sequence would continue

15,19,23,29,35,41,47,...

You can always come up with a variety of patterns for just a few data points. In this case, the familiar sequence of primes seems to be the simplest.