Problem 2

Algebra Level 4

\[ 2016S = 1 + 2 \left( 1 + \dfrac1{2016} \right) + 3\left( 1 + \dfrac1{2016} \right)^2 + \cdots + 2016\left( 1 + \dfrac1{2016} \right)^{2015} \]

Find \(S\).

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