Write down the binomial expansion of `(1+x)^(n+1),\ w h e n\ x=8.` deduce that `9^(n+1)-8n-9` is divisible 64 where `n` is a positive integer.

Similar Questions

Explore conceptually related problems

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

Write down the binomial expansion of (1+x)^(n+1) , when x=8. Deduce that 9^(n+1)-8n-9 is divisible by 64 where, n is a positive integer.

9^(n)-8^(n)-1 is divisible by 64 is

The statement : x^(n)-y^(n) is divisible by (x-y) where n is a positive integer is

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

By using binomial theorem prove that (2^(3n)-7n-1) is divisible by 49 where n is a positive integer.

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

The equatin 2x = (2n +1)pi (1 - cos x) , (where n is a positive integer)

The coeffiicent of x^(n) in the binomial expansion of ( 1-x)^(-2) is