Greatest binomial coefficient and numerically greatest term (Largest nCr near center; positive a,b: compare term ratio)
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Largest nCr near center; positive a,b: compare term ratio
What each symbol means
| Symbol | What it stands for |
|---|---|
| n,r | Standard binomial indices |
| T_{r+1}/T_r | Ratio of consecutive terms for (a+b)^n with a,b>0 |
When to use this
Positivity for monotonic ratio test; binomial coefficient maximized at central r.