Prove that `5^(25)-3^(25)` id divisible by 2,.

Prove that (25)^(n+1)-24n+5735 is divisible by (24)^2 for all n=1,2,...

Prove that 2. 7^n+3. 5^n-5 is divisible by 24, for all n in N .

Using principle of MI prove that 2.7^n+3.5^n-5 is divisible by 24

Using mathematical induction , to prove that 7^(2n)+2^(3n-3). 3^(n-1) is divisible by 25 , for al n in N

If n is a positive integer, then show that 6^(n)-5n-1 is divisible by 25

Prove by induction that if n is a positive integer not divisible by 3 , then 3^(2n)+3^(n)+1 is divisible by 13 .

For all n in N , 3xx5^(2n+1)+2^(3n+1) is divisible by a. 19 b. 17 c. 23 d. 25

Prove the following by the principle of mathematical induction: \ 5^(2n+2)-24 n-25 is divisible 576 for all n

Prove the following by the principle of mathematical induction: \ 7^(2n)+2^(3n-3). 3^(n-1) is divisible 25 for all n in Ndot

For all n inN,3*5^(2n+1)+2^(3n+1) is divisible by (A) 19 (B) 17 (C) 23 (D) 25