यदि $(1 + x)^n = c_0 + c_1x + c_2x^2 + c_3x^3 + \dots + c_nx^n$ है,तो $c_0 - 3c_1 + 5c_2 - \dots + (-1)^n(2n + 1)c_n$ का मान क्या होगा?
- A$(n - 1)2^n$
- B$0$
- C$(1 - 2n)2^{n - 1}$
- D$(1 - n)2^n$
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Similar Questions
यदि $(1 + x)^n = C_0 + C_1x + C_2x^2 + .... + C_nx^n$ है,तो $C_0 + 2C_1 + 3C_2 + .... + (n + 1)C_n$ का मान क्या होगा?
MediumIIT 1971
View Solution$\frac{^{100}C_{50}}{51} + \frac{^{100}C_{51}}{52} + \dots + \frac{^{100}C_{100}}{101}$ का मान ज्ञात कीजिए:
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View Solutionयदि $\sum_{r=0}^5 \frac{{}^{11}C_{2r+1}}{2r+2} = \frac{m}{n}$,$\text{gcd}(m, n) = 1$ है,तो $m - n$ का मान . . . . . . है।
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View Solutionयदि $(1 + x)^{15} = C_0 + C_1x + C_2x^2 + ...... + C_{15}x^{15}$ है,तो $C_2 + 2C_3 + 3C_4 + .... + 14C_{15} = $
DifficultIIT 1966
View Solution$\frac{C_1}{2} + \frac{C_3}{4} + \frac{C_5}{6} + \dots$ का मान किसके बराबर है?
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