Prove that 
is a positive integer for all n ϵ N
Step1:
Step2:
Now, we need to show that P(m+1) is true whenever P(m) is true.
It is a positive integer.
Thus, P(m+1) is true.
So, by principle of mathematical induction, P(n) is true for all nϵN.
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Prove that is a positive integer for all n ϵ N
Step1:
Step2:
Now, we need to show that P(m+1) is true whenever P(m) is true.
It is a positive integer.
Thus, P(m+1) is true.
So, by principle of mathematical induction, P(n) is true for all nϵN.