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

5^(2n)-1 is divisible by 24 for all n varepsilon N

Using the principle of mathematical induction, prove that (7^(n)-3^(n)) is divisible by 4 for all n in N .

Using the principle of mathematical induction, prove that (2^(3n)-1) is divisible by 7 for all n in N

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

3^(2n)+7 is divisible by 8 for all n varepsilon N

Using the principle of mathematical induction. Prove that (x^(n)-y^(n)) is divisible by (x-y) for all n in N .

Prove the following by the principle of mathematical induction: 2.7^(n)+3.5^(n)-5 is divisible 25 for all n in N

Prove the following by the principle of mathematical induction: 5^(n)-1 is divisible by 24 for all n in N.

Using binomial theorem, prove that (2^(3n)-7n-1) is divisible by 49, where n in N.

Using binomial theorem,prove that 2^(3n)-7^(n)-1 is divisible by 49, where n in N