Prove the following by the principle of mathematical induction:`\ 11^(n+2)+12^(2n+1)` is divisible 133 for all `n in Ndot`

Explanation

Let `P(n)` be the given statement.

Now,

`P(n): 11^{n+2}+12^{2 n+1}` is divisible by 133 .

Step 1 :

`P(1)=11^{1+2}+12^{2+1}=1331+1728=3059`

It is divisible by 133 .

Step2:

Let `P(m)` be divisible by 133 .

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