A.M. of \( C_{0}, 2 C_{1}, 3 C_{2}, \ldots,(n+1) C_{n} \), where \( (1+x)^{n}=C_{0}+C_{1} x+C_{2...
A.M. of \( C_{0}, 2 C_{1}, 3 C_{2}, \ldots,(n+1) C_{n} \), where \( (1+x)^{n}=C_{0}+C_{1} x+C_{2} x^{2}+\ldots+C_{n} x^{n} \) is equal to:
(A) \( \frac{2^{n-1}(n+2)}{(n+1)} \)
((B) \( \frac{2^{n}(n+2)}{(n+1)} \)
(C) \( \frac{2^{n-1}(n+1)}{(n+2)} \)
(D) \( \frac{2^{n}(n+1)}{(n+2)} \)
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