Induction – Geometric Results

Proof by mathematical induction for geometric results 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 geometric results that depend on a positive integer \(n\), such as the number of regions or intersection points formed by \(n\) figures.

Students and teachers will cover how to identify the pattern, set out the base case and inductive step, and justify the geometric conclusion for all \(n\) — a distinctive use of induction in the HSC Extension 2 course.