# Fibonacci Series in Python Using a While Loop

## Introduction:

In mathematics, the Fibonacci sequence is a series of numbers in which each number is the sum of the two preceding ones, usually starting with 0 and 1. The sequence goes like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on. In this tutorial, we will learn how to print the Fibonacci series in Python using a while loop.

## What is a Fibonacci Series?

A Fibonacci series is a sequence of numbers in which each number is the sum of the two preceding ones. The series starts with 0 and 1, and the next number in the sequence is the sum of the previous two numbers. The sequence goes like this: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, and so on. This sequence is named after the Italian mathematician Leonardo Fibonacci, who introduced it to the western world.

## Printing Fibonacci Series Using a While Loop

a = 0
b = 1
while b <= 55:
print(b)
a, b = b, a + b
print(“Done”)

### Explanation of the Code:

The program first initializes the variables `a` and `b` to 0 and 1, respectively. The `while` loop is then used to iterate through the sequence until the value of `b` reaches 55 or greater.

Inside the loop, the program prints the current value of `b` which is the current term in the Fibonacci sequence. It then updates the values of `a` and `b` such that `a` is assigned the current value of `b`, and `b` is assigned the sum of the previous values of `a` and `b`.

Once `b` reaches 55 or greater, the program exits the loop and prints the message “Done”.

1
1
2
3
5
8
13
21
34
55
Done

## Conclusion

In this tutorial, we learned how to print the Fibonacci series in Python using a while loop. We started by explaining what a Fibonacci series is and then showed you how to print it using a while loop in Python. We hope this tutorial was helpful to you!