Product Relation of Consecutive Coefficients

Rarely Tested

Product Relation of Consecutive Coefficients

## Formula

$$\frac{{}^nC_{r+1}}{{}^nC_r}=\frac{n-r}{r+1}$$

Therefore:

$${}^nC_{r+1}={}^nC_r\frac{n-r}{r+1}$$

## Usage

- Used to compare consecutive coefficients and determine the greatest coefficient.

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