Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true of all natural numbers. t is done by proving that the first statement in the infinite sequence of statements is true, and then proving that if any one statement in the infinite..
A statement that is proved by induction is usually based on the set of natural numbers. This statement can be a function of a number "n" where n is 1,2,3.....
Proof by induction involves 3 main steps.
Proving the base of induction involves showing that the claim holds good for some base values like 1,2.
A statement that is proved by induction is usually based on the set of natural numbers. This statement can be a function of a number "n" where n is 1,2,3.....
Proof by induction involves 3 main steps.
- Proving base of induction,
- Forming the induction hypothesis
- Proving that induction hypothesis holds true for all numbers in the domain.
Proving the base of induction involves showing that the claim holds good for some base values like 1,2.
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