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