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On the golden number and Fibonacci type sequences
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Abstrakty
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.
Słowa kluczowe
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Tom
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25-35
Opis fizyczny
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wydano
2020-02-05
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autor
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Bibliografia
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bwmeta1.element.ojs-doi-10_24917_20809751_11_2