# Fibonacci Series in Python using FOR Loop and Recursion

Fibonacci series in python using for loop. In Python Fibonacci Series, the 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.

To understand this example, you should have knowledge of following Python programming topics:

The sequence Fn of Fibonacci numbers is defined by the recurrence relation:
`F``n`` = F``n-1`` + F``n-2`

There are two ways to write the Fibonacci Series program in Python:

1. Fibonacci Series using Loop
2. Fibonacci Series using recursion

## Source Code: Fibonacci series using loops in python

Fibonacci series using loops in python. In Loop, we are using while loop and counter for generating Fibonacci Series. In the 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
```

## Source Code: Fibonacci Series using Recursion (Recursive Function)

In Recursive Function, we are using formula `F``n`` = F``n-1`` + F``n-2`. We are also iterating using `for` loop. In each iterate, we are calling function `recur_fibo()`.

```# 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))```

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Python Fibonacci for loop on GitHub – https://github.com/studygyaan/python-tutorial/blob/master/python-fibonacci.py