Question:medium
If \( C_0, C_1, C_2, \ldots, C_{15} \) are binomial coefficients in \( (1 + x)^{15} \), then \[ \frac{C_1}{C_0} + 2\frac{C_2}{C_1} + 3\frac{C_3}{C_2} + \cdots + 15\frac{C_{15}}{C_{14}} \] is equal to
If \( C_0, C_1, C_2, \ldots, C_{15} \) are binomial coefficients in \( (1 + x)^{15} \), then \[ \frac{C_1}{C_0} + 2\frac{C_2}{C_1} + 3\frac{C_3}{C_2} + \cdots + 15\frac{C_{15}}{C_{14}} \] is equal to
Show Hint
Use ratio identity \( \frac{C_r}{C_{r-1}} \) to simplify telescoping-like binomial sums.
Updated On: May 8, 2026
- \(60\)
- \(120\)
- \(64\)
- \(124\)
- \(144\)
Show Solution
The Correct Option is B
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