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Mashadi '
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Mathematics

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SOLUSI BILANGAN BULAT SUATU PERSAMAAN DIOPHANTINE MELALUI BILANGAN FIBONACCI DAN BILANGAN LUCAS Bona Martua Siburian; Mashadi '; Sri Gemawati
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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This article discusses the Diophantine equations in the form x 2 + axy + by 2 = c. The values of a, b, and c are constructed by Fibonacci number Fn and Lucas number L n. Furthermore, all integer solutions of the Diophantine equations in the form of Fibonacci number and Lucas number is determined by using Fibonacci and Lucas identities.
BEBERAPA IDENTITAS PADA GENERALISASI BARISAN FIBONACCI Sri Melati; Mashadi '; Musraini M
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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We discuss some identities of generalized Fibonacci sequence, (un), which satisfies linear homogeneous recurrence relations of order two having a non-zero constant coefficient. Then given some matrices, we show that the n-power of these matrices provide some identities for Pni=0 u2i , unun+2, and Pni=0 unun+1. At the end we give generating functions for unun+1 and unun+2.
SIFAT-SIFAT FUNGSI FIBONACCI PADA BILANGAN FIBONACCI Samson Manalu; Mashadi '; Rolan Pane
Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam Vol 2, No 1 (2015): Wisuda Februari 2015
Publisher : Jurnal Online Mahasiswa (JOM) Bidang Matematika dan Ilmu Pengetahuan Alam

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Abstract

For every function ݂: ℝ → ℝ, with f(x  2)  f(x 1)  f(x), for ݔ ∈ ℝ is called the Fibonacci function. In this article, we discuss the properties of a Fibonacci function on Fibonacci Numbers. Among them is the multiplication of an odd function or an even function with a Fibonacci function, also produces a Fibonacci function. If the Fibonacci function f convergens, it convergens to a number 2 1  5 called golden ratio. This implies that limit of a Fibonacci function exists.
Co-Authors Bona Martua Siburian Musraini M Rolan Pane Samson Manalu Sri Gemawati Sri Melati