What problem did Carl Gauss solve?

Answer 1

Carl Gauss is renowned for solving the problem of finding the sum of the first n natural numbers. As a young student, he discovered that by pairing numbers from opposite ends of the sequence, such as 1 and n, 2 and (n-1), and so on, the sums were consistent. This led to the formula ( S = \frac{n(n + 1)}{2} ), which efficiently calculates the total without needing to add each number individually. His method demonstrated not only mathematical ingenuity but also laid foundational principles for arithmetic series.