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≈ Symbol

Revision as of 12:55, 1 January 2024 by Joyfulsapling (talk | contribs) (Undo revision 209366 by Joyfulsapling (talk))

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. Binet’s Formula: $F_n=\dfrac{1}{\sqrt{5}}\left( \left( \dfrac{1+\sqrt{5}}{2}\right)^n - \left( \dfrac{1-\sqrt{5}}{2}\right)^n \right)$

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