Fungrim entry: 0cd1a4

{\varphi}^{n + 1} = {\varphi}^{n} + {\varphi}^{n - 1}

Assumptions:

n \in \mathbb{C}

TeX:

{\varphi}^{n + 1} = {\varphi}^{n} + {\varphi}^{n - 1}

n \in \mathbb{C}

Definitions:

Fungrim symbol	Notation	Short description
`Pow`	${a}^{b}$	Power
`GoldenRatio`	$\varphi$	The golden ratio (1.618...)
`CC`	$\mathbb{C}$	Complex numbers

Source code for this entry:

Entry(ID("0cd1a4"),
    Formula(Equal(Pow(GoldenRatio, Add(n, 1)), Add(Pow(GoldenRatio, n), Pow(GoldenRatio, Sub(n, 1))))),
    Variables(n),
    Assumptions(Element(n, CC)))

Topics using this entry

Golden ratio

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