Let x equal the last number in the sequence
Let (the function of) F(x-1) equal the number right before the last number in the sequence
let (the function of) F(x-2) qual the number before the number right before the last
Let a = ((x)-(F(x-1)))
Let b = ((F(x-1)))-((F(x-2))))
Let c = the position of x in the sequence
Let d and e be a place holder for calculations
Let f = the next number in the sequence
So the equation is:
(a-b)+c=d
(a-b)+d=e
x+e=f
I’m sure there is a much more elegant way to write this out, but when I laid down in bed last night it popped into my head right before I fell asleep, so I figured i’d post it as a blog – so you could see it once you added me as a friend…