In the sequence of Fibonacci numbers, each number is the sum of the two previous numbers. Fibonacci starts the sequence not with 0, 1, 1, 2, as modern mathematicians do but with 1.1, 2, etc. He takes the calculation to the thirteenth place (the fourteenth in the modern calculation), which is 233, although other manuscripts take it to the next place: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377. Fibonacci is not talking about the golden ratio as the limit of the ratio of sequential numbers in this order.
How it works
In the sequence of Fibonacci numbers, each number is the sum of the two previous numbers.
In its most basic form, you follow the Fibonacci sequence with successive defeats, and reset to bet 1 on victory.
The Fibonacci sequence is Xn + 1 = (Xn + Xn-1) where Xn: -1 = 0 and Xn: 0 = 1.
So the first few items of the order are: 1,1,2,3,5,8,13,21,34,55,89,144,233, 377 …
So an example of a bet using the basic Fibonacci system:
As can be seen in the example above, the Fibonacci betting system is not sustainable using payment 2, because it does not develop fast enough at a loss. Using higher payments can be an alternative.
An alternative method for using the Fibonacci sequence is in a manner similar to d’Alembert, for step 1 right step in the loss order, and step 1 step left in the winning sequence.
This is a method that is slightly more profitable than basic Fibonacci, but suffers from the same underlying flaws with the dAlAlembert strategy; requires the same amount of wins and losses.
The system can then be customized by adjusting the number of steps to follow the winning or losing order. You can, for example, step 2 steps directly from a loss and 1 step left to win.
The Fibonacci system can be reversed into a positive development system as well, by increasing your bets on wins and reducing your bets on losses instead.