If `n` is a positive integer then `11^n-10n-1` is divided by

If n is a positive integer then 2^(4n) - 15n - 1 is divisible by

If n is a positive integer then 2^(4n) - 15n - 1 is divisible by

If n is a positive integer then .^(n)P_(n) =

If n is a positive integer, then (1+i)^n+(1-i)^n=

If n is a positive integer, then (1+i)^(n)+(1-i)^(n)=

Use binomial theorem to show that if nge1 is an integer then , (a) 11^(n)-10n-1 is divisible by 100 (b) 3^(2n)-8n-1 is divisible by 64.

If n is a positive integer,then (1+i)^(n)+(1-1)^(n) is equal to

P(n):11^(n+2)+1^(2n+1) where n is a positive integer p(n) is divisible by -

For any positive integer n, if 4^(n)-3n is divided by 9, then what is the remainder ?