What is the break down for mathmatical induction I cannot re

What is the break down for mathmatical induction, I cannot really wrap my head around it?

Solution

Mathematical induction is a method or process of proving some statement for all natural numbers n.

Here a statement is given with n as natural number as varying from 1 to infinity.

For proving this, we first check whether the statement is true for a small natural number such as 1 or 2.

Next step is to assume that P(k) statement for k is true and based on this assumption try to find out P(k+1) is also true.

If true, then it follows that if true for k, it is true for k+1. Already true for 1 or 2. Hence true for all natural numbers n.