Using binomial theorem, prove that `6^n-5n` always leaves remainder 1 when divided by 25.

Using binomial theorem,prove that 6^(n)-5n always leaves he remainder 1when divided by 25.

With the help of bionomial theorem expansion, show that (4^(n)-3n) is always leaves remainder 1, when divided by 9.

Show that 4.6^(n) +5^(n+1) leaves remainder 9 when divided by 20.

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

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