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Fibonacci System
The Fibonacci strategy uses the sequence 1, 1, 2, 3, 5, 8, 13 and so on to determine the size of each bet.
How it works
After a losing hand, move one step forward in the sequence. After a winning hand, move two steps back. The system is normally used on an even-money Player bet.
For example, losing 1, 1, 2 and 3 units, then winning 5 and 2 units, leaves the sequence even: seven units lost and seven won.
Advantages and disadvantages
Fibonacci is linear and grows more gently than Martingale, but it still chases losses. A sufficiently long losing run creates large stakes.
Systems and progressions do not affect the house edge. If a progression guaranteed profit, casinos would not permit it.