- Tytuł:
- On the golden number and Fibonacci type sequences
- Autorzy:
- Barcz, Eugeniusz
- Powiązania:
- https://bibliotekanauki.pl/articles/1790591.pdf
- Data publikacji:
- 2019-12-05
- Wydawca:
- Uniwersytet Pedagogiczny im. Komisji Edukacji Narodowej w Krakowie
- Opis:
- The paper presents, among others, the golden number $\varphi$ as the limit of the quotient of neighboring terms of the Fibonacci and Fibonacci type sequence by means of a fixed point of a mapping of a certain interval with the help of Edelstein's theorem. To demonstrate the equality , where $f_n$ is $n$-th Fibonacci number also the formula from Corollary \ref{cor1} has been applied. It was obtained using some relationships between Fibonacci and Lucas numbers, which were previously justified.
- Źródło:
-
Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia; 2019, 11; 25-35
2080-9751
2450-341X - Pojawia się w:
- Annales Universitatis Paedagogicae Cracoviensis. Studia ad Didacticam Mathematicae Pertinentia
- Dostawca treści:
- Biblioteka Nauki
Artykuł