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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CAT Formulas
Binomial Theorem
Product Relation of Consecutive Coefficients
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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