If , prove that…

MATHEMATICS · Subjective · CBSE · Mathematics · Binomial Theorem · Binomial Theorem

Problem

If (1+x)n=C0+C1x+C2x2+C3x3+⋯+Cnxn(1+x)^n = C_0 + C_1x + C_2x^2 + C_3x^3 + \dots + C_n x^n , prove that C0−2C1+3C2−4C3+⋯+(−1)n(n+1)Cn=0C_0 - 2C_1 + 3C_2 - 4C_3 + \dots + (-1)^n (n+1)C_n = 0 .

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