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Stangerzv

Member

Registered: 2012-01-30

Posts: 266

Re: New Math Formula: Sums of Power for Arithmetic Series

New Formulation for alternating sums of power

Let the p-th power of an alternating arithmetic series as follows

The General Equations are given as follows:

For odd power:

For even power:

Where

Last edited by Stangerzv (2019-11-21 11:53:58)

Stangerzv

Member

Registered: 2012-01-30

Posts: 266

Re: New Math Formula: Sums of Power for Arithmetic Series

An approach to proof Fermat's Last Theorem.

Consider when n=3, and i=3, yields:

Let

and

then;

let

Then

this equation is solvable.

Now let n=2

Let

and

then

There is no whole number solution according to Euler.

Last edited by Stangerzv (2020-01-17 12:38:45)