# Adiós 2015

**Algebra**Level pending

Let \( f : \mathbb{N} \to \mathbb{R} \) be a function such that

\[ \sum_{k=0}^{n} f(k) = 2016 \frac{(n+1)}{(n+2)} \]

Find \( (f(2014))^{-1} \).

Let \( f : \mathbb{N} \to \mathbb{R} \) be a function such that

\[ \sum_{k=0}^{n} f(k) = 2016 \frac{(n+1)}{(n+2)} \]

Find \( (f(2014))^{-1} \).

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