Difference between revisions of "The Golden Ratio or phi"

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Nobody likes the <math>\approx</math> symbol. They prefer the <math>=</math> symbol or inequalities. However, this symbol is needed when working with Fibonacci numbers. For example the approximation: <math>F_n-1 + \frac{1+\sqrt{5}}{2} \approx F_n</math>, where F stands for Fibonacci number.
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#REDIRECT [[Phi]]
But there is an exact formula for Fibonacci numbers that have no <math>\approx</math> symbol. 
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{{delete|unnecessary redirect, long title}}
<math>F_n=\dfrac{1}{\sqrt{5}}\left( \left( \dfrac{1+\sqrt{5}}{2}\right)^n - \left( \dfrac{1-\sqrt{5}}{2}\right)^n \right)</math>
 

Latest revision as of 13:49, 19 February 2025

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