Functions and the Fibonacci Sequence


Possible relationship between cubic and quadratic functions and the Fibonacci sequence

Notice that the Fibonacci sequence approaches the f(x)=(x-7)^3 and g(x)=(3(x-8))^2 functions at higher levels. Although at a height around y=610 the Fibonacci number points start to be about as far from f(x) as they are show here at the beginning. At a height of about y=380 g(x) ceases to map the Fibonacci points.