Arithmetic–geometric mean

The Arithmetic-Geometric Mean (AGM) is a mathematical concept that combines the arithmetic mean and the geometric mean of two non-negative real numbers. The AGM of two numbers \( a \) and \( b \) is found through an iterative process. Here's how it works: 1. **Start with two numbers**: Let \( a_0 = a \) and \( b_0 = b \).