In Python Fibonacci Series, next range uses the total of the previous two numbers. For example: 0, 1, 1, 2, 3, 5 , 8, 13, 21, 34, 55 and so on. Fibonacci series starts from 0 and 1.
Fibonacci application is used in the Stock Market, Trading, Banking Application, Data structure, Graphs and much more.
The sequence Fn of Fibonacci numbers is defined by the recurrence relation:
There are two ways to write the Fibonacci Series program in Python:
- Fibonacci Series using Loop
- Fibonacci Series using recursion
Fibonacci Series using Loop
In Loop, we are using while loop and counter for generating Fibonacci Series. In while loop, we are adding two numbers and swapping numbers.
nNum = 10 num = 0 num1 = 0 num2 = 1 count = 0 while (count<nNum): print(num1) num = num1 +num2 num1 = num2 num2 = num count +=1
Fibonacci Series using Recursion (Recursive Function)
# Recurrence Relation # Fn = Fn-1 + Fn-2 def recur_fibo(n): if n <= 1: return n else: return(recur_fibo(n-1)+recur_fibo(n-2)) nNum = 10 for i in range(nNum): print(recur_fibo(i))