MCQ
$\frac{{{C_0}}}{1} + \frac{{{C_1}}}{2} + \frac{{{C_2}}}{3} + .... + \frac{{{C_n}}}{{n + 1}} = $
- A$\frac{{{2^n}}}{{n + 1}}$
- B$\frac{{{2^n} - 1}}{{n + 1}}$
- ✓$\frac{{{2^{n + 1}} - 1}}{{n + 1}}$
- Dએકપણ નહિ.
So given term can be written as $\frac{1}{N}\left\{ {{\,^N}{C_1} + {\,^N}{C_2} + {\,^N}{C_3} + ....} \right\}$
= $\frac{1}{N}\left\{ {{2^N} - 1} \right\} = \frac{1}{{n + 1}}({2^{n + 1}} - 1)$
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