👉 Obtaining math, also known as mathematical induction, is a powerful proof technique used to establish the validity of mathematical statements for all natural numbers. The process involves two main steps: the base case and the inductive step. First, one must prove that the statement holds true for the smallest value, typically n = 1. This is the base case. Next, assuming the statement is true for some arbitrary natural number k (this assumption is called the inductive hypothesis), one must show that if the statement holds for k, it also holds for k + 1. This logical progression from k to k + 1 demonstrates that the statement is true for all subsequent natural numbers. By rigorously proving these two steps, mathematical induction effectively confirms the statement's truth for every integer greater than or equal to the base case.
