Sorry, I’m pulling rank on this one. I am a professional mathematician, and as one of my grad school professors once said in reply to an undergraduate asking, “Will there be proofs on the test or will it be all math?”:
MATHEMATICS IS PROOFS!
Sorry, I’m a former high school mathematics teacher. Doing logic problems involving numbers doesn’t make them math. Logic problems like these require deductive reasoning skills, not mathematical ability. Deductive reasoning is a discipline of logic, which is taught in university philosophy departments, consistent with its origins with Aristotle.
You are referring to mathematical induction, which crosses over into deductive reasoning, but doesn’t encompass it.