# Not sick of basick - 2

Algebra Level 5

Let $$p(x)$$ be a fourth degree polynomial such that $$p(1)=1$$, $$p(2)=\frac{1}{2}$$, $$p(3)=\frac{1}{3}$$, $$p(4)=\frac{1}{4}$$, $$p(5)=\frac{1}{5}$$ and $$p(6)=\frac{A}{B}$$.

Find $$A+B$$, where $$A$$ and $$B$$ are coprime.

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