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Title

Interesting Properties of the Fibonacci Sequence Under Various Moduli
Authors

Ryohei Miyadera
Organization: Kwansei Gakuin High School
Department: Mathematics Department
Hiroaki Simoda
Hiroki Takebayashi
Naoya Urakawa
Kousuke Morimoto
Yoshiro Okamoto
Koichi Tukiyama
Yasuhumi Kotera
Horoshi Takimoto
Daisuke Minematu
Masahumi Matuda
Akihiko Obe
Conference

2004 International Mathematica Symposium
Conference location

Banff, Canada
Description

We studied the Fibonacci sequence under various moduli, and found some very curious properties. Most of the results here are well known facts, but these are very good material for Mathematica course ware. High School students really enjoyed rediscovering theorems.
Subjects

*Education > Precollege
*Mathematics > Number Theory
*Teaching
Keywords

Fibonacci sequence, moduli, course ware
Related items

*New Ideas in Symbolic Computation: Proceedings of the 6th International Mathematica Symposium   [in Books]