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Useful Summation

The following are famous and useful summation with the closed form definite sum

Arithmetic series (Arithmetic series)

sum

Sum of square (Sum of square)

Sum of cube (Sum of cube)

Sum of quad Sum of quad

useful summation

Geometric series (Geometric series)

=> useful summation

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See Also: Kardi Teknomo's Tutorial

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Preferable reference for this tutorial is

Teknomo, Kardi (2015) Summation Tutorial. http://people.revoledu.com/kardi/tutorial/BasicMath/Sum/