Using principle of mathematical induction prove that
for all natural numbers n ≥ 2.
Step1: For n=2, P(n):
Therefore, it is true for n=2.
Step2: Let P(n) be true for n=k.
Now, we need to show P(k+1) is true whenever P(k) is true.
P(k+1):
So, it is true for n=k+1, thus by the principle of mathematical induction P(n) is true for all n ≥ 2