Find remainder if, `2^(5n + 6) - 31n - 32` is divisible by 961 if n> 1

3^(2n)+24n-1 is divisible by 32 .

AA n in N, 7.5^(2n ) + 12.6^(n) is divisible by

Let n in N and f(n) = 2^(5n+5) - 31n -32 Assertion: f(n) is divisible by 961, Reason : 2^(5n)=(1+31)^n (A) Both A and R are true and R is the correct explanation of A (B) Both A and R are true R is not te correct explanation of A (C) A is true but R is false. (D) A is false but R is true.

Find the remainder when 6^(n)-5n is divided by 25.

5^(n)-1 is always divisible by (n in N)

5^(n)-1 is always divisible by (n in N)

5^(2(n-4) -6n + 32 is divisible by 9 for every natural number n ge 5 .

The remainder when 6^(n) - 5n is divided by 25, is

If n is a positive integer, show that: 3^(2n)-1+24n-32n^2 is divisible by 512 if ngt2

If n is a positive integer, show that: 3^(2n)-1+24n-32n^2 is divisible by 512 if ngt2