If $(1 + x)^{n} = C_{0} + C_{1} x + C_{2} x^{2} + .... + C_{n} x^{n}$ , then $3 C_{0} - 5 C_{1} + 7 C_{2} + ... + (- 1)^{n} (2 n + 3) C_{n}$ equals

1

2 (2 n + 3) 2^{n}

2 (2 n + 3) 2^{n - 1}

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(1 + x)^{n} = C_{0} + C_{1} x + C_{2} x^{2} + .... + C_{n} x^{n}

, then

3 C_{0} - 5 C_{1} + 7 C_{2} + ... + (- 1)^{n} (2 n + 3) C_{n}

equals

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Question Text

(1 + x)^{n} = C_{0} + C_{1} x + C_{2} x^{2} + .... + C_{n} x^{n}

, then

3 C_{0} - 5 C_{1} + 7 C_{2} + ... + (- 1)^{n} (2 n + 3) C_{n}

equals

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