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Sum of Consecutive Binomial Coefficients
## Formula
$$\sum_{r=k}^{n}{}^rC_k={}^{n+1}C_{k+1}$$
This is known as the hockey-stick identity.
## Usage
- Used to simplify sums where the lower index of binomial coefficients remains fixed.
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Sum of Consecutive Binomial Coefficients
## Formula
$$\sum_{r=k}^{n}{}^rC_k={}^{n+1}C_{k+1}$$
This is known as the hockey-stick identity.
## Usage
- Used to simplify sums where the lower index of binomial coefficients remains fixed.
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