In mathematics, contributes to the discovery of new ideas and information, while is used to prove with logical certainty that an idea is true or false.

a. deductive reasoning . . inductive reasoning
b. an inductive proof . . a proof
c. inductive reasoning . . deductive reasoning
d. a property . . a theorem

In mathematics, inductive reasoning contributes to the discovery of new ideas and information, while deductive reasoning is used to prove with logical certainty that an idea is true or false. The correct option among all the options that are given in the question is the third option or option "C". I hope it helps you.

So you know what happened and so it doesn’t repeat it’s self