If , prove that…

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

Problem

If (1+x)n=C0+C1x+C2x2+⋯+Cnxn(1+x)^n = C_0 + C_1x + C_2x^2 + \dots + C_n x^n , prove that (1⋅2)C2+(2⋅3)C3+⋯+(n−1)⋅n⋅Cn=n(n−1)2n−2(1 \cdot 2)C_2 + (2 \cdot 3)C_3 + \dots + (n-1) \cdot n \cdot C_n = n(n-1)2^{n-2} .

Related theory

Browse the problem library