# Compare and Predict

Algebra Level 4

Let $f$ be a function with domain $\mathbb{R}$.

If $f(x+2)\big(1-f(x)\big)=1+f(x)$ and $f(1)=2016$, find the value of $f(2017)$.


Notation: $\mathbb{R}$ denotes the set of real numbers.

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