Proposition: Sum of Squares

The sum of consecutive square numbers to a given number $n^2$ can be calculated by the following formula $$\sum_{k=0}^n k^2=\frac{n(n+1)(2n+1)}6.$$

Proofs: 1


Thank you to the contributors under CC BY-SA 4.0!

Github:
bookofproofs


References

Bibliography

  1. Forster Otto: "Analysis 1, Differential- und Integralrechnung einer Veränderlichen", Vieweg Studium, 1983