# Fun with Functions

Algebra Level 4

Let $$f(n)$$ be a function on all rational $$n$$ such that $$f(n)=2n-1$$. If $$f^{2013}(n)$$ is expressed in the form $$an+b$$, where $$a$$ and $$b$$ are integer values, what is the value of $$a+b$$?

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