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

Write down the binomial expansion of (1+x)^(n+1) , when x=8. Deduce that 9^(n+1)-8n-9 is divisible by 64 where, n is a positive integer.

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

9^(n)-8^(n)-1 is divisible by 64 is

Show that 7^(n) +5 is divisible by 6, 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.

The statement : x^(n)-y^(n) is divisible by (x-y) where n is a positive integer is

(-i)^(4n+3) , where n Is a positive integer.

Show that one and only one out of n ,n+2or ,n+4 is divisible by 3, where n is any positive integer.

Show that one and only one out of n ,n+2 or n+4 is divisible by 3, where n is any positive integer.

Show that n^2-1 is divisible by 8, if n is an odd positive integer.