Fibonacci Polynomial

Algebra Level 5

A polynomial \(P(x)\) of degree \(13\) satisfies \(P(k)=F_{k}\) for \(k=15,16,....,28\) (\(F_{k}\) denotes the \(kth\) Fibonacci number.)

Find the value of \(P(29)\).

Souryajit Roy by Souryajit Roy
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