Fibonacci Formula

The Fibonacci formula is used to generate Fibonacci in a recursive sequence. To recall, the series which is generated by adding the previous two terms is called a Fibonacci series. The first and second term of the Fibonacci series is set as 0 and 1 and it continues till infinity. Observe the following Fibonacci series:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34….

The Fibonacci Formula is given as,

Where,

• F_n = n^th term of the series
• F_{n – 1} and F_{n – 2} are the (n-1)^th and (n – 2)^th terms respectively

Also Check: Fibonacci Calculator

Solved Example

Question: Find the next number in the Fibonacci series 0, 1, 1, 2, 3, 5, 8, 13,……

Solution:

The Fibonacci formula is given as,

F_n = F_n-1 + F_n-2

Here, n = 9

∴ F₉ = F₈ + F₇

⇒ F₉ = 13 + 8

So, F₉ = 21

Hence, the next number in the series is 21.