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Fungrim entry: 0574c1

F_{n} \sim \frac{{\varphi}^{n}}{\sqrt{5}}, \; n \to \infty

TeX:

F_{n} \sim \frac{{\varphi}^{n}}{\sqrt{5}}, \; n \to \infty

Definitions:

Fungrim symbol	Notation	Short description
`Fibonacci`	$F_{n}$	Fibonacci number
`Pow`	${a}^{b}$	Power
`GoldenRatio`	$\varphi$	The golden ratio (1.618...)
`Sqrt`	$\sqrt{z}$	Principal square root
`Infinity`	$\infty$	Positive infinity

Source code for this entry:

Entry(ID("0574c1"),
    Formula(AsymptoticTo(Fibonacci(n), Div(Pow(GoldenRatio, n), Sqrt(5)), n, Infinity)))

Topics using this entry

Fibonacci numbers

Copyright (C) Fredrik Johansson and contributors. Fungrim is provided under the MIT license. The source code is on GitHub.

2021-03-15 19:12:00.328586 UTC