Efficient Methods for Solving Summation Equations: Σ(1/k) - (1/(k+1))

[Leah123rose]

Homework Statement

(summation from 1 to 100) Σ (1/k) - (1/(k+1)) [/B]

Homework Equations

Σc = cn
Σi = (n(n+1))/2[/B]

The Attempt at a Solution

I can only find summation equations for variables in the numerator. I'm not sure how to even start this problem. [/B]

 

[BvU]

So write out ${1\over k} - {1\over k-1}$ to start with ...

 

[BvU]

Or better: write out the first five terms and discover a pattern...

 

[BvU]

Oh, and read the guidelines . This post is not up to PF standards

 

[Leah123rose]

Or better: write out the first five terms and discover a pattern...

That helped, thanks! Sorry my post is not up to standards, I'm a new member but will do better next time.

 

[BvU]

Okido !