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Bulletin of the Faculty of Education, Wakayama University. Educational science 69
2019-02-08 発行

An investigation of Fibonacci numbers as a teaching material of mathematics education and an extension of the formula of the power sum of Fibonacci numbers

数学教育の教材としてのフィボナッチ数の考察とフィボナッチ数のべき乗和の公式の一般化
KITAYAMA, Hidetaka Faculty of Education 和歌山大学研究者総覧 researchmap
MATSUYAMA, Tomoko
NISHIGUCHI, Masazumi
NISHIYAMA, Hisashi Faculty of Education 和歌山大学研究者総覧 researchmap
TAGAWA, Hiroyuki Faculty of Education 和歌山大学研究者総覧 researchmap
TAKUBO, Kazuko
FullText File
AN00257966.69.59.pdf 1.38 MB
Self DOI
10.19002/AN00257966.69.59
About This Article
Language
jpn
Start Page
59
End Page
66
Abstract
本稿では，高等学校の数列領域で頻出するフィボナッチ数の位置づけ，及びフィボナッチ数を拡張して多変数化した多項式のべき乗和の一般式を求める。さらに，一般式の証明に利用した関係式をもとに，超幾何級数 4F3 の関係式と等式の導出を目的とする。
Text Version
publisher
AN00257966.69.59.pdf 1.38 MB
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