The Sum of First N Natural Numbers Calculator helps you quickly find the total of the first N natural numbers. Natural numbers are the set of positive counting numbers starting from 1, such as 1, 2, 3, 4, 5.... This formula is widely used in algebra, number theory, programming, and competitive exams.

What Are Natural Numbers?

Natural numbers are the basic counting numbers beginning from 1. They do not include zero or negative numbers.

Formula to Find the Sum of First N Natural Numbers

S = n(n + 1) / 2

Where:

• S = sum of the first n natural numbers
• n = the number of natural numbers to be added

Examples

Example 1:

Find the sum of the first 5 natural numbers.
Using S = n(n + 1) / 2
S = 5(5 + 1) / 2 = 5 × 6 / 2 = 15
Result: 15

Example 2:

Find the sum of the first 10 natural numbers.
S = 10(10 + 1) / 2 = 10 × 11 / 2 = 55
Result: 55

Example 3:

Find the sum of the first 50 natural numbers.
S = 50(50 + 1) / 2 = 50 × 51 / 2 = 1275
Result: 1275

This calculator is useful for students, teachers, programmers, and anyone working with sequences and series. It makes calculating large sums fast and error-free.