Python Program to Find Sum of N Natural Numbers

Sum of n natural numbers in python; In this tutorial, you will learn how do you write a Python program to find the sum of the first n natural number using while loop, for loop, and recursion function.

The sum of natural numbers formula is used to find the sum of the natural numbers up to n terms. i.e., 1 + 2 + 3 + 4 + 5 + …. up to n terms. To derive the formula, we need to use the sum of the arithmetic progression formula, because the natural numbers are arranged in an arithmetic sequence. With 1 as the first term, 1 as the common difference, and up to n terms, we use the sum of an AP = n/2(2+(n-1)). Solving this, you get the sum of natural numbers formula = [n(n+1)]/2.

Sum of Natural Numbers Formula = [n(n+1)]/2 .

Python Programs to Find/Calculate Sum Of n Natural Numbers

Let’s use the following algorithm to write a program to find sum of n natural numbers in python:

• Python Program to Calculate Sum of N Natural Numbers using While Loop
• Python Program to find Sum of N Natural Numbers using For Loop
• Python Program to calculate Sum of N Natural Numbers using Recursion Function

Python Program to Calculate Sum of N Natural Numbers using While Loop

Follow the below steps and write a program to find the sum of first n natural numbers using while loop in python:

• Take input number from the user
• Iterate while loop and calculate sum of n natural number
• As well as store value in variable
• Print sum of n natural number

# Python Program to find Sum of N Natural Numbers
 
number = int(input("Please Enter any Number: "))

total = 0
value = 1

while (value <= number):
    total = total + value
    value = value + 1

print("The Sum of Natural Numbers from 1 to {0} =  {1}".format(number, total))

Output

Please Enter any Number: 5
The Sum of Natural Numbers from 1 to 5 =  15

Python Program to find Sum of N Natural Numbers using For Loop

Follow the below steps and write a program to find the sum of first n natural numbers using for loop in python:

• Take input number from the user
• Iterate for loop and calculate sum of n natural number
• As well as store value in variable
• Print sum of n natural number

# Python Program to find Sum of N Natural Numbers
 
number = int(input("Please Enter any Number: "))
total = 0

for value in range(1, number + 1):
    total = total + value

print("The Sum of Natural Numbers from 1 to {0} =  {1}".format(number, total))

Output

Please Enter any Number: 10
The Sum of Natural Numbers from 1 to 10 =  55

Python Program to calculate Sum of N Natural Numbers using Recursion Functions

Follow the below steps and write a program to find the sum of first n natural numbers using function in python:

• Take input number from the user
• Define a function, which is calcuate sum of n natural number
• As well as store value in variable
• Print sum of n natural number

# Python Program to find Sum of N Natural Numbers
 
def sum_of_n_natural_numbers(num):
    if(num == 0):
        return num
    else:
        return (num + sum_of_n_natural_numbers(num - 1))
    
number = int(input("Please Enter any Number: "))

total_value = sum_of_n_natural_numbers(number)

print("Sum of Natural Numbers from 1 to {0} =  {1}".format(number, total_value))

Output

Please Enter any Number: 10
The Sum of Natural Numbers from 1 to 10 =  55

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