If , prove that C_1 2 + C_3 4 + C_5 6 + = 2^n-1…

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

Problem

(1+x)^n = C_0 + C_1 x + C_2 x^2 + \dots + C_n x^n

, prove that

\frac{C_1}{2} + \frac{C_3}{4} + \frac{C_5}{6} + \dots = \frac{2^n-1}{n+1}