If \( S_{n}=\frac{1}{n+1} \sum_{i=0}^{n}\left(\begin{array}{l}n \\ ...
If \( S_{n}=\frac{1}{n+1} \sum_{i=0}^{n}\left(\begin{array}{l}n \\ i\end{array}\right) \), then \( 2 S_{n+1}-S_{n} \) equals
(a) \( \frac{2}{n+1} \)
(b) \( \frac{2}{n+2} \)
(c) \( \frac{n}{n+1} \)
(d) none of these
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