In this lesson, we learn how to use mathematical induction to prove inequalities for all natural numbers. The principle of mathematical induction has two steps: the basis step and the inductive step. By starting from an arbitrary natural number, we can reformulate the principle to solve cases where a property may not be valid for all natural numbers. Through an example, we see how to use the generalized principle of mathematical induction to prove that an inequality is valid for all natural numbers greater than 1.
Learn how to prove inequalities using mathematical induction.