The Harmonic Series is a mathematical series defined as the sum of the reciprocals of the natural numbers. It can be expressed as: 1 + 1/2 + 1/3 + 1/4 + ... and continues indefinitely. Despite the terms getting smaller, the series diverges, meaning that the sum grows without bound as more terms are added. This series is significant in various fields, including number theory and analysis. It is often used to illustrate concepts of convergence and divergence in mathematics. The Harmonic Series also appears in applications such as computer science and physics, particularly in algorithms and wave phenomena.