Sum of Natural Numbers

Introduction to Sum of Natural Numbers Calculator

The sum of the first n natural numbers is calculated by the formula S = n(n + 1)/2. This formula provides a quick way to sum up all natural numbers from 1 to n, where n is a positive integer. The concept originates from Gauss's observation in elementary arithmetic.

Parameter usage:

• n = upper limit of the natural numbers to be summed

Example valid values:

• n = 10
• n = 100

Output:

• sum = sum of the natural numbers up to n

Data validation

n must be a natural number greater than 0.

Summary

This calculator efficiently computes the sum of the first n natural numbers, demonstrating a foundational mathematical property used in various computations and formulas.