Golden Ratio

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There are several different ways to express the golden ratio. 4 different ways are listed below.


\(\displaystyle \text{Golden Ratio } \displaystyle\phi = \frac{1+\sqrt{5}}{2}\)


\(\displaystyle \text{Golden Ratio } \displaystyle\phi = 1+\frac{1}{1+\frac{1}{1+\frac{1}{1+…\frac{1}{1+\frac{1}{1+…}}}}}\)


\(\displaystyle \text{Golden Ratio } \displaystyle\phi = \frac{a}{b} \text{ such that } \frac{a+b}{a}=\frac{a}{b}\)


\(\displaystyle \text{Golden Ratio } \displaystyle\phi \approx 1.61803398875 \)


See Related Pages\(\)

\(\bullet\text{ Fibonacci Sequence}\)
\(\,\,\,\,\,\,\,\,0,1,1,2,3,5,8,13,21…\)
\(\bullet\text{ Golden Ratio}\)
\(\,\,\,\,\,\,\,\,1.61803398875…\)
\(\bullet\text{ Pascal’s Triangle}\)
\(\,\,\,\,\,\,\,\,\)Thumbnail for Pascals Triangle
\(\bullet\text{ Binomial Theorem}\)
\(\,\,\,\,\,\,\,\,\displaystyle\frac{n!}{(n-(k-1))!(k-1)!}a^{(n-(k-1)))b^{k-1}}\)
\(\bullet\text{ Andymath Homepage}\)

Thumbnail of Andymath Homepage


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