# Polynomial Recursion

Algebra Level 5

A sequence of polynomials $$f_k(x)$$ is defined as follows. $f_0(x)=1;\ f_{k+1}(x)=f_k(x+1)+x^{k+1}, \ k=0,1,2,...$ Find the last 3 digits of the coefficient of $$x$$ in $$f_{10}(x)$$.

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