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.
 
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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But there is an exact formula for Fibonacci numbers that have no <math>\approx</math> symbol.  Fib(n) = https://latex.artofproblemsolving.com/8/6/d/86d486c560727727342090b432e23ba85ac098b1.png

Revision as of 12:26, 15 June 2019

Nobody likes the $\approx$ symbol. They prefer the $=$ symbol or inequalities. However, this symbol is needed when working with Fibonacci numbers. For example the approximation: $F_n-1 + \frac{1+\sqrt{5}}{2} \approx F_n$, where F stands for Fibonacci number. But there is an exact formula for Fibonacci numbers that have no $\approx$ symbol. Fib(n) = https://latex.artofproblemsolving.com/8/6/d/86d486c560727727342090b432e23ba85ac098b1.png