The Fibonacci system is regarded by many as one of the safest roulette betting strategies around, yet is it just a fancy mathematics equation or a valuable strategy for enhancing your chances when playing online roulette?

In the following guide, our casino experts get into the heart of the Fibonaci roulette strategy and show you precisely what this betting system is all about.

What is the Fibonacci Sequence?

Fibonacci has constructed the well-known sequence with the same name, defined as follows: The sequence starts with numbers 0, 1, and then any term of the sequence is determined as the sum of the previous two terms. Concretely, the Fibonacci sequence looks like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, …

This sequence proved to have interesting mathematical properties for roulette. A nice such property is closeness, saying that any positive integer can be written as a sum of Fibonacci numbers each taken at most once. For instance, 116= 1+5+21+89. The sequence was later found to have a close relation with the so-called ‘golden number’ (φ = 1 + √5 / 2 = 1.61803398…), since the general term of the sequence is expressed as a polynomial function of φ.

The Fibonacci sequence even came to be perceived in a mystical light when it was observed that the golden number is widely spread in nature – some specific anatomic proportions in the bodies of animals and humans are equated with the golden ratio and the growth rate of some spirals (that of the flower petals or mollusk shells) also equals this number. But what does the Fibonacci sequence have to do with gambling? We will see further.

The Fibonacci Betting System

Let’s see how the system works in a concrete imaginary example:

Step 1: Bet $1 and loose. Your current loss is $1. Move forward to number 1.
Step 2: Bet $1 and loose. Your current overall loss is $1 + $1 = $2. Move forward to number 2.
Step 3: Bet $2 and loose. Your current overall loss is $2 + $2 = $4. Move forward to number 3.
Step 4: Bet $3 and loose. Your current overall loss is $4 + $3 = $7. Move forward to number 5.
Step 5: Bet $5 and loose. Your current overall loss is $7 + $5 = $12. Move forward to number 8.
Step 6: Bet $8 and loose. Your current overall loss is $12 + $8 = $20. Move forward to number 13.
Step 7: Bet $13 and loose. Your current overall loss is $20 + $13 = $33. Move forward to number 21.
Step 8: Bet $21 and win. Your current overall loss is $33 – $21 = $12. Move back to number 8.
Step 9: Bet $8 and loose. Your current overall loss is $12 + $8 = $20. Move forward to number 13.
Step 10: Bet $13 and win. Your current overall loss $20 – $13 = $7. Move back to number 5.
Step 11: Bet $5 and loose. Your current overall loss is $7 + $5 = $12. Move forward to number 8.
Step 12: Bet $8 and win. Your current overall loss is $12 – $8 = $4. Move back to number 3.
Step 13: Bet $3 and loose. Your current overall loss is $4 + $3 = $7. Move forward to number 5.
Step 14: Bet $5 and win. Your current overall loss is $7 – $5 = $2. Move back to number 2.
Step 15: Bet $2 and win. Your current overall loss is 0. Move back to number 1.
Step 16: Bet $1 and win. Your current overall profit is $1.

You have reached the lower end of the sequence and the system has completed.

Which Bets Can Be Used with the Fibonacci Strategy?

Online roulette can come in many variations, including American, European, French, multi-wheel, and online casino live dealer roulette. Whether you play online or live dealer roulette, the game offers over a dozen different bet opportunities, known as inside and outside bets.

While you can place bets on any wagering options, the Fibonacci roulette strategy only works with specific bets. These are the outside or even-money bets (Odd/Even, Red/Black, and 1-18/19-36), which give you a near 50/50 chance of winning. Most people will be familiar with these bets since they are the most famous wagers in roulette alongside betting on a single number.

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