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what is the mathematical induction. But basically mathematical induction is just a way of proving things about numbers. Mathematical induction one of various methods of proof of mathematical propositions.
By every or all natural numbers we mean any one that we name. Although its name may suggest otherwise mathematical induction should not be confused with inductive reasoning as used in philosophy see Problem of induction. Mathematical induction is a method of proof that is used in mathematics and logic.
Mathematical induction is a technique for proving a statement -- a theorem or a formula -- that is asserted about every natural number.
If we call this relation N any number m will have this relation to m 1. In method of mathematical induction we first prove that the first proposition is true known as base of induction. If we call this relation N any number m will have this relation to m 1. 1 2 3 4 etc.