Statement-1: `7^(n)-3^(n)` is divisible by 4.
Statement-2: `7^(n)=(4+3)^(n)`.

Statement-1: 2^(33)-1 is divisible by 7. Statement-2: x^(n)-a^(n) is divisibel by x-a, for all n in N and x ne a .

Statement 1: 2^(33)-1 is divisible by 7. Statement 2: x^(n)-a^(n) is divisible by x-a , for all n in NN and x ne a .

Statement 1:3^(2n+2)-8n-9 is divisible by 64,AA n in N. Statement 2:(1+x)^(n)-nx-1 is divisible by x^(2),AA n in N

7^(2n)+2^(3n-3)*3^(n-1) is divisible by 25

7^(2n)+2^(3n-3).3^(n-1) is divisible by 25

Consider the statement " 7^(n)-3^(n) is divisible by 4" i. Verify the result for n = 2. ii. Prove the statement using mathematical induction.