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

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    Calc 2 Summation
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Homework Help Overview

The discussion revolves around a summation problem involving the expression Σ(1/k) - (1/(k+1)), specifically from k=1 to k=100. The subject area pertains to series and summation in mathematics.

Discussion Character

  • Exploratory, Problem interpretation

Approaches and Questions Raised

  • Participants discuss how to approach the summation, with suggestions to write out terms to identify patterns. There is uncertainty about starting the problem, particularly regarding the manipulation of the summation expression.

Discussion Status

The discussion is ongoing, with some participants providing suggestions for exploring the problem further. There is an acknowledgment of the need for adherence to forum standards, indicating a mix of learning and adjustment to the community's expectations.

Contextual Notes

One participant expresses difficulty in finding summation equations for variables in the numerator, highlighting a potential gap in understanding the problem setup. Additionally, there are reminders about following forum guidelines, which may affect the quality of contributions.

Leah123rose
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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]
 
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So write out ##{1\over k} - {1\over k-1}## to start with ...
 
Or better: write out the first five terms and discover a pattern...
 
Oh, and read the guidelines . This post is not up to PF standards

:wink:
 
Last edited by a moderator:
BvU said:
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.
 
Okido !
 

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