Using binomial theorem, prove that `5^(4n)+52n-1` is divisible by 676 for all positive integers n.

Similar Questions

Explore conceptually related problems

By using binomial theorem prove that (2^(3n)-7n-1) is divisible by 49 where n is a positive integer.

Using binomial theorem show that 3^(4n+1)+16n-3 is divisible by 256 if n is a positive integer.

Using binomial theorem prove that 6^(2n) - 35n - 1 is divisible by 1225, AA n in N

Using binomial theorem, prove that 2^(3n)-7n-1 is divisible by 49 , where n in Ndot

Using binomial theorem, prove that 2^(3n)-7^n-1 is divisible by 49 , where n in Ndot

Using binomial theorem prove that 50^n - 49n - 1 is divisible by 49^2, AA n in N

Using binomial theorem, prove that 3^(2n+2)-8^n-9 is divisible by 64 , where n in Ndot

Show that 7^(n) +5 is divisible by 6, where n is a positive integer

Show that 9^(n+1)-8n-9 is divisible by 64, where n is a positive integer.