Sum of Series 1.2476n^.2476 | Homework Help

[Luke77]

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?

 

[Mark44]

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.

True enough.

I have tried using L'hopital's rule and using partial fractions. Where am I going wrong?

Why would you think that L'Hopital's rule or partial fractions are applicable here?

This is a finite series, so the problem boils down to adding 35 numbers, 1^.2476 + 2^.2476 + 3^.2476 + ... + 35^.2476, and then multiplying that sum by 1.2476.

Seems like kind of a pointless problem to me, unless there is some technique that can be used to simplify things. Nothing comes to mind, though.

 

[Ray Vickson]

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?

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

 

[Luke77]

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

I guess I was too lazy, and I really want to have all sum formulas at my access.