Mathematics

Sum of First n Natural Numbers

Calculate the sum of the first n positive integers.

S = n(n + 1) / 2

Formula Explanation

The formula gives the sum of consecutive natural numbers from 1 to n.

Variables Explained

n = Number of terms.

Solved Example

Find the sum of the first 50 natural numbers.
S = 50 × 51 / 2 = 1275.

Exam Tip

Pair the first and last terms to calculate quickly.