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
