Question

If C₀, C₁, C₂ .....,C_n–1, C_n denote the binomial coefficients in the expansion of (1 + x)ⁿ, prove that: \(\frac{C_1}{C_0} + 2.\frac{C_2}{C_1} + 3. \frac{C_3}{C_2} + ....+n.\frac{C_n}{C_{n-1}} = \frac{n(n+1)}2\)

Answer 1

\(\text{We have,}\)