Fibonacci series are the numbers in the following integer sequence, called the Fibonacci sequence and characterized by the fact that every number after the first two is the sum of the two preceding ones:
Often, especially in modern usage, the sequence is extended by one more initial term:
By definition, the first two numbers in the Fibonacci sequence are either 1 and 1, or 0 and 1, depending on the chosen starting point of the sequence, and each subsequent number is the sum of the previous two.
The sequence Fn of Fibonacci numbers is defined by the recurrence relation
List of Fibonacci numbers
The first 21 Fibonacci numbers Fn for n = 0, 1, 2, …, 20
which yields the sequence of “negafibonacci” numbers satisfying
Thus the bidirectional sequence is
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F−8 F−7 F−6 F−5 F−4 F−3 F−2 F−1 F0 F1 F2 F3 F4 F5 F6 F7 F8 −21 13 −8 5 −3 2 −1 1 0 1 1 2 3 5 8 13 21 IN SIMPLE LANGUAGE WE CAN SAY:
The Fibonacci Sequence is the series of numbers:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, …
The next number is found by adding up the two numbers before it.
- The 2 is found by adding the two numbers before it (1+1)
- The 3 is found by adding the two numbers before it (1+2),
- And the 5 is (2+3)