# 200 Followers Problem

Algebra Level 5

If $f(x)$ is a 5th degree monic polynomial such that :

$f(1) = 1$

$f(2) = 2$

$f(3) = 5$

$f(4) = 13$

$f(5) = 34$

then find the value of $(f(6) + f(7) + f(8))$

This problem is original

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