👉 Induction math, also known as mathematical induction, is a proof technique used to establish the validity of a statement for all natural numbers. It consists of two main steps: the base case and the inductive step. In the base case, the statement is proven true for the smallest natural number (usually 1). The inductive step involves assuming the statement is true for an arbitrary natural number k (this assumption is called the inductive hypothesis) and then proving that if it holds for k, it must also be true for k+1. By demonstrating these two steps, induction math guarantees that the statement is true for all natural numbers, as it starts from a base case and propagates the truth through an infinite chain of consecutive natural numbers.
