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Maths Extension 1 · Year 12 · NESA ME1-12-01

Proof by mathematical induction

NESA focus area ME1-12-01, 20 lessons.

Syllabus note: this focus area follows the new 2024 NESA syllabus (first HSC 2027). Students sitting the HSC in 2026 study the 2017 syllabus.

20lessons

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Lessons

Introduction to Mathematical Proof

The Principle of Mathematical Induction

Induction: Sum of First $n$ Integers

Induction: Arithmetic Series

Induction for Geometric Series

Induction for Sum of Squares

Induction for Sum of Cubes

Induction for Higher Power Sums

Induction for Divisibility I

Induction for Divisibility II

Induction for Inequalities I

Induction for Inequalities II

Induction for Recurrence Relations

Induction for Products

Induction for Trigonometric Identities

Induction for Combinatorial Identities

Induction for Derivative Patterns

Strong Induction

Proof by Contradiction

Mixed Proofs & Exam Technique