Induction – Inequalities

Proof by mathematical induction for inequalities is part of the Proof topic in NSW Year 12 Mathematics Extension 2 (NESA outcome ME2-12-01). This subtopic uses mathematical induction to prove inequality results that hold for all integers \(n\) beyond a starting value.

Students and teachers will cover how to establish the base case, use the inductive hypothesis, and combine it with known inequalities to complete the inductive step — one of the more challenging uses of induction in the HSC Extension 2 course.