Proposition: Sum of Binomial Coefficients IV

For natural numbers \(n\ge k\), the following sum formula for binomial coefficients holds

\[\sum_{m=k}^n \binom mk=\binom{n+1}{k+1}.\]

Proofs: 1


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References

Bibliography

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