Not Pascal's Identity

Algebra Level 2

\[ \frac {C_1}{C_0} + 2\ \frac {C_2}{C_1} + 3\ \frac {C_3}{C_2} + \ldots + 15\ \frac {C_{15}}{C_{14}} \]

Let \(C_r \) denote the binomial coefficient \( { 15 \choose r } \). What is the value of the expression above?

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