Using the principle of mathematical induction prove that `41^n-14^n` s a multiple of `27` `7^n-3^n` s a divisible by `4` .

Similar Questions

Explore conceptually related problems

Using principle of mathematical induction prove that sqrt(n) =2

41^(n)-14^(n) is a multiple of 27

Using the principle of mathematical induction, prove that n<2^(n) for all n in N

Using the principle of mathematical induction , prove that for n in N , 41^(n) - 14^(n) is a multiple of 27.

Using principle of mathematical induction, prove that for all n in N, n(n+1)(n+5) is a multiple of 3.

Using the principle of mathematical induction, prove that (n^(2)+n) is seven for all n in N .

By using principle of mathematical induction, prove that 2+4+6+….2n=n(n+1), n in N

Using mathematical induction prove that n^(2)-n+41 is prime.

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

Using the principle of mathematical induction prove that (1+x)^(n)>=(1+nx) for all n in N, where x>-1