# 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.

×