Wikipedia has a closed-form function called "Binet's formula".
http://en.wikipedia.org/wiki/Fibonacci_number#Relation_to_the_golden_ratio
$F\left(n\right) = {{\varphi^n-(1-\varphi)^n} \over {\sqrt 5}}$" />$F\left(n\right) = {{\varphi^n-(1-\varphi)^n} \over {\sqrt 5}}$
This is based on the Golden Ratio.
Wikipedia has a closed-form function called "Binet's formula".
http://en.wikipedia.org/wiki/Fibonacci_number#Relation_to_the_golden_ratio
$F\left(n\right) = {{\varphi^n-(1-\varphi)^n} \over {\sqrt 5}}$" />
This is based on the Golden Ratio.
Wikipedia has a closed-form function called "Binet's formula".
http://en.wikipedia.org/wiki/Fibonacci_number#Relation_to_the_golden_ratio
$F\left(n\right) = {{\varphi^n-(1-\varphi)^n} \over {\sqrt 5}}$
This is based on the Golden Ratio.
Wikipedia has a closed-form function called "Binet's formula".
http://en.wikipedia.org/wiki/Fibonacci_number#Relation_to_the_golden_ratio
$F\left(n\right) = {{\varphi^n-(1-\varphi)^n} \over {\sqrt 5}}$ F(n) = (phi ^ n - (1 - phi) ^ n) / (5 ^ 0.5) $F\left(n\right) = {{\varphi^n-(1-\varphi)^n} \over {\sqrt 5}}$" />
This is based on the Golden Ratio.
Wikipedia has a closed-form function called "Binet's formula".
http://en.wikipedia.org/wiki/Fibonacci_number#Relation_to_the_golden_ratio
$F\left(n\right) = {{\varphi^n-(1-\varphi)^n} \over {\sqrt 5}}$ F(n) = (phi ^ n - (1 - phi) ^ n) / (5 ^ 0.5) This is based on the Golden Ratio.
Wikipedia has a closed-form function called "Binet's formula".
http://en.wikipedia.org/wiki/Fibonacci_number#Relation_to_the_golden_ratio
$F\left(n\right) = {{\varphi^n-(1-\varphi)^n} \over {\sqrt 5}}$" />
This is based on the Golden Ratio.