200 Followers Problem

Algebra Level 5

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

f(1)=1f(1) = 1

f(2)=2f(2) = 2

f(3)=5f(3) = 5

f(4)=13f(4) = 13

f(5)=34f(5) = 34

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

This problem is original

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