Muhammad Syifaul Mufid, Tahiyatul Asfihani, Lukman Hanafi : On The Lagrange Interpolation of Fibonacci Sequence

Muhammad Syifaul Mufid S.Si.,M.Si
Tahiyatul Asfihani S.Si., M.Si
Drs. Lukman Hanafi M.Sc



Published in

International Conference on Mathematics : Pure, Applied and Computation (ICoMPAC)

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Seminar Internasional


Fibonacci sequence; Lagrange interpolation; FLIP


Fibonacci sequence is one of the most common sequences in mathematics. It was first introduced by Leonardo Pisa in his book Liber Abaci (1202). From the first n+1 terms of Fibonacci sequence, a polynomial of degree at most n can be constructed using Lagrange interpolation. In this paper, we show that this Fibonacci Lagrange Interpolation Polynomial (FLIP) can be obtained both recursively and implicitly.