Finding Fibonacci Series nth Term Using Python

Finding, Fibonacci Series nth Term Using Python. The Fibonacci sequence is a series of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1. In this tutorial, we will explore how to find and print the nth term of the Fibonacci Series using Python. We will cover two methods: A recursive function and an iterative approach.

Fibonacci Series nth Term Using Recursive Approach

The recursive approach directly implements the mathematical definition of the Fibonacci series. This approach is elegant but not very efficient for large values of n due to excessive recalculation.

Here is the Python code for the recursive approach

def fibonacci_recursive(n):
    if n<=1:
        return 1
    else:
        return fibonacci_recursive(n-1) + fibonacci_recursive(n-2)
# example uses
nth_term = 10
print(f"The {nth_term}th term of Fibonacci series = {fibonacci_recursive(nth_term)}")    

Fibonacci Series nth Term Using Iterative Approach

The iterative approach uses a loop to compute the nth Fibonacci term. It is more efficient than the recursive approach, especially for large n.

Here is how to do it in Python

def fibonacci_iterative(n):
   a,b = 0,1
   for _ in range(n+1):
      a,b = b, a+b
   return a   
   

# example uses
nth_term = 10
print(f"The {nth_term}th term of Fibonacci series = {fibonacci_iterative(nth_term)}")    

The Fibonacci series is a fundamental concept in both mathematics and computer science. In Python, both recursive and iterative methods can be used to compute terms of the sequence, But they differ significantly in performance. The iterative approach is recommended for practical applications, especially concerning performance.

Happy Coding & Learning

See Also

• WAP to Add Two Numbers in Python
• Python Program to Print Odd Numbers from 1 to n