how do i get from

(1/2) - (1/k(k+1)) + (2/(k+1)(k+2)

to (1/2) - (1/(k+1)(k+2)

Any help would be great!

Printable View

- May 25th 2012, 02:00 AMgurnster76Mathmatical induction
how do i get from

(1/2) - (1/k(k+1)) + (2/(k+1)(k+2)

to (1/2) - (1/(k+1)(k+2)

Any help would be great! - May 25th 2012, 02:18 AMemakarovRe: Mathmatical induction
What do you mean by "get from ... to ..."? The equality of these two expressions seems to hold only for k = 1: WolframAlpha.

Could you post the original problem? - May 25th 2012, 02:21 AMWilmerRe: Mathmatical induction
Bad bracketing...repost clearly...

- May 25th 2012, 02:22 AMProve ItRe: Mathmatical induction
- May 25th 2012, 06:02 AMgurnster76Re: Mathmatical induction
sorry for the bad bracketing, this is the original question, im still massively confused by this.

Use mathematical induction to prove that

n

Σ 2/r(r^2-1) = (1/2) - (1/n(n+1)) n= 2,3,4.......

r=2

i have done the basic proof and got to the point

k+1

Σ = (1/2) - (1/k(k+1)) + 2/(k+1)(k+1^2-1)

r=2

I think i need to get to (1/2) - 1/(k+1)(k+2) but im not sure how to get there, any help would be greatly appreciated! - May 25th 2012, 06:51 AMPlatoRe: Mathmatical induction
- May 25th 2012, 08:21 AMWilmerRe: Mathmatical induction