Difference between revisions of "≈ Symbol"
(Undo revision 209366 by Joyfulsapling (talk)) (Tag: Undo) |
|||
Line 1: | Line 1: | ||
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. | But there is an exact formula for Fibonacci numbers that have no <math>\approx</math> symbol. | ||
− | [[ | + | [[Binet’s Formula]]: |
<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> | <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> |
Revision as of 12:55, 1 January 2024
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. Binet’s Formula: