16.16

Algebra Level 5

\[\large S = \sum_{n=0}^{ \infty } \dfrac{(-1)^n n}{ 2016^n } \]
Find the value of \( \left \lfloor \dfrac{1}{S} \right \rfloor \).

Notation: \( \lfloor \cdot \rfloor \) denotes the floor function.

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