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 1 when divided by 25.

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

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

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

Using binomial theorem, prove that 8^(n)-7n always leaves remainder 1 when divided by 49.

Prove that AA n in N 6^(n)-5n leaves remainder 1 when divided by 25.

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

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