`4 1^n-1 4^n` is a multiple of `27 `

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

Using mathematical induction prove that 41^n-14^n is a multiple of 27 for all n in N

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

For all ninNN , prove by principle of mathematical induction that, 4^(n)+15n-1 is a multiple of 9.

Prove the following by using the Principle of mathematical induction AA n in N Given that 5^(n)-5 is divisble by 4 AA n in N .Prove that 2.7^(n)+3.5^(n)-5 is a multiple of 24.

For all n in N , n(n + 1) (n + 5) is a multiple of 8

n(n+1)(n+5) is a multiple 3.

Show that: 2^(4n)-2^n(7n+1) is some multiple of the square of 14, where n is a positive integer.