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Finite sum of a power
How to calculate
If you already know the formulas for for , then you can calculate using the following trick:
You expand the LHS and use the formulas you already know.
For example, the following formulas should be familiar to most people:
You can then apply the above trick to prove that
And with that, you can go on and find . And so on, and so forth.
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Re: Finite sum of a power
That is both interesting and very useful!
Character is who you are when no one is looking.