The sum - r -1 n r -2 n C r is equal toA- n -22 n-1B- 22 n-1C- 22 n-1-1D- None of these

The correct option is A r.^2nC_r=2n.^2n 1C_r 1 ∴ ∑_r=1^n r.^2rC_r=2n{^2n 1C_0+^2n 1C_1+...+^2n 1C_n 1} =2n.2^(2n 1) 1 =n.2^2n 1 ...

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Complex Numbers

The sum ∑ r =...

Question

The sum $\sum_{r = 1}^{n} r .^{2 n} C_{r}$ is equal to

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