# Mathematical Induction

**Mathematical Induction**

Mathematical induction is a method of mathematical proof typically used to establish a given statement for all natural numbers. It is done in two steps. The first step, known as the base case, is to prove the given statement for the first natural number. The second step, known as the inductive step, is to prove that the given statement for any one natural number implies the given statement for the next natural number. From these two steps, mathematical induction is the rule from which we infer that the given statement is established for all natural numbers.

Every one of us know additions right!!

But, it becomes difficult when we are asked to find the sum of say 100, 200 consecutive natural numbers or a sequence. Same is the case with the sum of squares and cubes of numbers.Mathematical induction helps you to solve such problems and also some special sequences. This method finds an application in the up coming chapters like probability, permutations & Bionomial theorem

Common you are done with the basic definitions and the foundation of mathematical induction

As stated earlier let know the purpose of learning this chapter and its applications and then proceed further

Applications of Mathematical Induction

Mathematical Induction theory

It is always said that we remember some thing for a quite long time when we look it practically,so here we go with a video that explains you better.