Home
Class 12
MATHS
Using binomial theorem show that 3^(4n+1...

Using binomial theorem show that `3^(4n+1)+16n-3` is divisible by 256 if n is a positive integer.

Promotional Banner

Similar Questions

Explore conceptually related problems

Show that 9^(n+1)-8n-9 is divisible by 64, where n is a positive integer.

Show that n^(2)-1 is divisible by 8, if n is an odd positive integer.

Using bionomial theorem, show that (9^(n)-8n-1) is always divisible by 64.

Show that a^(n) - b^(n) is divisible by a – b if n is any positive integer odd or even.

Using binomial theorem,prove that 2^(3n)-7^(n)-1 is divisible by 49, where 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 3^(2n+2)-8^(n)-9 is divisible by 64, where n in N.