How is the Fibonacci sequence of numbers generated?

-- Start a list. -- At the beginning of the list, write zero. -- Next on the list, write ' 1 '. -- Now you have the beginning of the Fibonacci series. -- Whenever you want to add a new term to the list, sum up the last two terms on the list. Their sum is the new term.

Answered by AL2006 | 2024-06-10

The formula for the Fibonnaci numbers is:
F(n) = 0 (for n = 0) F(n) = 1 (for n = 1) F(n) = F(n - 1) + F(n - 2) (for n > 1)
So:
F0 = 0 F1 = 1 F2 = 0 + 1 = 1 F3 = 1 + 1 = 2 F4 = 1 + 2 = 3 F5 = 2 + 3 = 5 F6 = 3 + 5 = 8 F7 = 5 + 8 = 13 F8 = 8 + 13 = 21 F9 = 13 + 21 = 34 F10 = 21 + 34 = 55
etc.

Answered by SlowZasob | 2024-06-10

The Fibonacci sequence starts with 0 and 1, where each new number is the sum of the two preceding numbers, creating a pattern: 0, 1, 1, 2, 3, 5, 8, 13, and so on. This sequence can be generated by continuously adding the last two numbers to find the next one. It has applications in nature and various fields of mathematics.
;

Answered by AL2006 | 2024-11-02