# Figure-It-Out Function! - Part 4: Semi G.P.

Algebra Level 3

Let there be a function $$f:\mathbb{Z}\rightarrow\mathbb{R}$$, such that

$$f(x)=\frac{f(x-1)}{f(x-2)}$$

$$f(1)=2$$

$$f(2)=1$$

Find $$f(2016)$$

There is an odd property exhibited in this question and FIOF 2. Can you find it, and prove why it is so?

This problem is part of the Figure-It-Out Function! series.

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