# An algebra problem by Wildan Bagus W. Hafidz

Algebra Level 3

A function $$f$$ is defined on the original number satisfying $$f (1)$$ $$= 2017$$ and$$f (1) + f (2) + f (3) + ... + f(n) = n ^ 2f (n)$$with $$n > 1$$. Determine the result of $$2018 \cdot f(2017)$$.

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