The discussion revolves around the sum of the series Ʃ 1.2476n^.2476 from n=1 to 35. Participants explore the nature of the series and the methods attempted for finding its sum.
Some participants express skepticism about the existence of a closed-form expression for the sum and suggest evaluating it numerically instead. There is a recognition of the need for a technique that might simplify the problem, but no consensus on a specific method has been reached.
Participants mention the constraints of the problem being a finite series and the desire for accessible sum formulas, indicating a focus on understanding rather than simply calculating the sum.
True enough.Luke77 said:Homework Statement
What is the sum of Ʃ 1.2476n^.2476 from n=1 to 35.
Homework Equations
The Attempt at a Solution
It isn't an arithmetic, geometric, or a p-series.
Why would you think that L'Hopital's rule or partial fractions are applicable here?Luke77 said:I have tried using L'hopital's rule and using partial fractions. Where am I going wrong?
Luke77 said:Homework Statement
What is the sum of Ʃ 1.2476n^.2476 from n=1 to 35.
Homework Equations
The Attempt at a Solution
It isn't an arithmetic, geometric, or a p-series. I have tried using L'hopital's rule and using partial fractions. Where am I going wrong?
Ray Vickson said:I doubt that there is any nice closed-form expression for the sum. What is stopping you from evaluating the sum numerically (using a spreadsheet or a package such as Wolfram Alpha)?
RGV