HSC Extension One Maths Proof by Induction Exam

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Important: These tests take time to write, if you’re in a position consider buying me a coffee so I can keep doing this in the long term.

Below is a skills checklist I wrote based on the syllabus, if you can do everything listed below you should be in a good position for both your school’s induction test and the induction questions in the HSC.

  • Understand the steps of an inductive proof

  • Use induction to prove results for sums and for divisibility

  • Identify false proofs by induction

  • Recognise what induction can be used to prove and what it cannot