If n is an odd integer greater than or e...

If n is an odd integer greater than or equal to 1, then the value of `n^3 - (n-1)^3 + (n-1)^3 - (n-1)^3 + .... + (-1)^(n-1) 1^3`

A

`((n+1)^2. (2n-1))/4`

B

`((n-1)^2 . (2n-1))/4`

C

`((n+1)^2 . (2n+1))/4`

D

`((n-1)^2 . (2n+1))/4`

Verified by Experts

The correct Answer is:

A

Similar Questions

Explore conceptually related problems

If n is an odd number greater than 1, then n(n^(2)-1) is

Find the value of (3^(n)xx3^(2n+1))/(9^(n)xx3^(n-1)) .

If n is n odd integer that is greater than or equal to 3 but not a multiple of 3, then prove that (x+1)^(n)=x^(n)-1 is divisible by x^(3)+x^(2)+x

If n is an odd integer greater than 3, but not a multiple of 3. Prove that x^3 + x^2 + x is a factor of (x+1)^(n) - x^(n) -1 .

For and odd integer n ge 1, n^(3) - (n - 1)^(3) + …… + (- 1)^(n-1) 1^(3)

The value of (3^(n+1)+3^n)/(3^(n+3)-3^(n+1) is equal to