Prove that by using principle of mathematical induction 4^n+15n+1 is divisible by 9 for all natural no. N
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Let P(n) be the statement given by
Step I
Step II
Let P(m) be true. Then,
________________________
Now,
Thus, P(m) is true => P(m+1) is true.
Hence, by the principle of mathematical induction P(n) is true for all n N i.e., is divisible by 9.
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