Induction proofs

Induction Proofs is one of the most elegant and misunderstood topics in IB Math AA HL. This course shows you exactly how to master it. Inside, you’ll learn how mathematical induction works, why it’s such a powerful proof technique, and how to apply it to classic HL exam questions with confidence. We go beyond rote memorization and teach you how to think like an examiner, breaking down the logic of every step — base case, induction hypothesis, and inductive step. By the end, you’ll be able to write clean, rigorous proofs, avoid the most common errors students make, and approach challenging problems with a structured, repeatable method.

Start here

Start by downloading the cheat sheet and the vocabulary below. After that, move to the video lessons with their respective exercise lists.

Video lessons

Learn the content with the videos provided and reinforce your comprehension by practicing with the exercise list above.

Introduction to induction proofs

Induction proofs with series

Induction proofs with divisibility

Induction proofs with inequalities

Induction proofs with trigonometry

Induction proofs with binomial theorem

Induction proofs with derivatives

Wrapping up

Take the mock exams

It’s time to put your knowledge to the test with our mock exams — the closest experience you’ll get to the real IB Math exams. Note: read the instructions on taking mock exams here.

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