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anonymous
 one year ago
Two large numbers of the Fibonacci sequence are F50 = 12,586,269,025 and F51 = 20,365,011,074.
What is the approximate value of the quotient ? f51/50
anonymous
 one year ago
Two large numbers of the Fibonacci sequence are F50 = 12,586,269,025 and F51 = 20,365,011,074. What is the approximate value of the quotient ? f51/50

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anonymous
 one year ago
Best ResponseYou've already chosen the best response.0A. 1.618 B. 0.618 C. 2.618 D. 2 E. 3.142

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0we have that \(F_n\approx\frac1{\sqrt5}\varphi^n\) for large \(n\) where \(\varphi=\frac12(1+\sqrt5)\approx1.618\)

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so \(F_{n+1}/F_n\approx \varphi\approx 1.618\) for large \(n\); in this case, \(n=50\) is sufficiently big for this approximation to be 'good'

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0????? @oldrin.bataku

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0check for yourself if you have a calculator; even just 3 digits of each are enough to give a decent approximation

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\(F_{51}/F_{50}\approx 204/126=1.619\approx1.618\)
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