Cubic polynomial interpolation

Algebra Level 3

If p(x)p(x) is a cubic polynomial with

p(1)=1,p(2)=2,p(3)=3,p(4)=5,\begin{array}{c}&p(1)= 1, &p(2)=2, &p(3)=3, &p(4)=5,\end{array}

find p(6).p(6).

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