# Arithmetic Sequence coefficients

Algebra Level 5

A linear function $$f(x)=bx+a$$ has the property that $$f(f(x))=dx+c$$ is another linear function such that $$a,b,c,d$$ are integers that are consecutive terms in an arithmetic sequence. Find the last three digits of the sum of all possible values of $$f(2013)$$.

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