Proposition: Sum of Consecutive Odd Numbers

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

Proofs: 1


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References

Bibliography

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