Show that `2^(4n+4)-15n-16, ` where n `in` N is divisible by 225.

Show that 2^(4n+4)-15n-16 ,w h e r en in N is divisible by 225.

Show that 2^(4n+4)-5n-15, where n in N is divisible by 225.

If n is a positive integer (gt1) , show that, (4^(2n+2)-15n-16) is always divisible by 225.

If n>1 be a +ve integer,then using binomial theorm show that (4^(2n+2)-15n-16) is always divisible by 225.

5^(2n+1)+3^(4n+2) (n in N) is divisible by

n^(2)(n^(4)-1) is divisible by

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