Fibonacci - Wikipedia
The Fibonacci betting system is another negative progression betting system. It is simple and easy to follow. In its most basic form, you follow the Fibonacci sequence on a losing streak, and reset to betting 1 on a win.
The Fibonacci sequence is Xn+1 = (Xn + Xn-1) where Xn:-1 =0 and Xn:0 =1.
Thus first few items of the sequence is: 1,1,2,3,5,8,13,21,34,55,89...
So an example of a betting using the basic Fibonacci system:
Bet Amount | Bet Result | Total Profit |
1 | Loss | -1 |
1 | Loss | -2 |
2 | Loss | -4 |
3 | Loss | -7 |
5 | Win | -2 |
1 | Win | -1 |
1 | Win | 0 |
1 | Loss | -1 |
1 | Loss | -2 |
2 | Loss | -4 |
3 | Loss | -7 |
5 | Loss | -12 |
8 | Loss | -20 |
13 | Loss | -33 |
21 | Loss | -54 |
34 | Win | -20 |
1 | Loss | -21 |
As can be seen in the example above, the Fibonacci betting system is not sustainable using a payout of 2, because it does not progress fast enough on a loss. Using a higher payout can be an alternative.
Alternative methods to use the Fibonacci sequence is in a similar way to d'Alembert, to step 1 step right in the sequence on a loss, and step 1 step left in the sequence on a win.
Bet Amount | Bet Result | Total Profit |
1 | Loss | -1 |
1 | Loss | -2 |
2 | Loss | -4 |
3 | Loss | -7 |
5 | Win | -2 |
3 | Win | 1 |
2 | Win | 3 |
1 | Loss | 2 |
2 | Loss | 0 |
3 | Loss | -3 |
5 | Loss | -8 |
8 | Loss | -11 |
13 | Loss | -24 |
21 | Loss | -45 |
34 | Loss | -79 |
55 | Win | -24 |
34 | Loss | -58 |
This is a slightly more profitable method than the basic Fibonacci, but suffers from the same fundamental flaw as the d'Alembert strategy; requiring an equal amount of wins and losses.
The system can further be customized by adjust the number of steps to take into the sequence on a win or a loss. You can, for example, step 2 steps right on a loss and 1 step left on a win.
The Fibonacci system can be reversed into a positive progression system as well, by increasing your bet on a win and decreasing your bet on a loss instead.