Difference between revisions of "$\approx$ Symbol"

Latest revision as of 18:06, 2 July 2025

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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.
+#REDIRECT [[Approximation]]
-But there is an exact formula for Fibonacci numbers that have no <math>\approx</math> symbol.
-[[Binet’s Theorem]]:
-<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>