# A problem of seconds in seconds

Algebra Level 3

$\large \sum_{z=1}^{2016} r_{z}=?$ where $$r_{z}$$ is the $$z^{th}$$ term of a sequence of distinct real numbers such that $$r_1=0$$, $$r_{2016}=2$$ and $$|r_{n+1}-r_n|$$ is constant.

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