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. | ||
| − | 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 | + | But there is an exact formula for Fibonacci numbers that have no <math>\approx</math> symbol. Fib(n) = [[Image: https://latex.artofproblemsolving.com/8/6/d/86d486c560727727342090b432e23ba85ac098b1.png|thumb|right|5px|Fib(n)]] |
Revision as of 13:45, 29 December 2023
Nobody likes the 
symbol. They prefer the 
symbol or inequalities. However, this symbol is needed when working with Fibonacci numbers. For example the approximation: 
, where F stands for Fibonacci number.
But there is an exact formula for Fibonacci numbers that have no symbol. Fib(n) =
