What you need to know
Check yourself against these “I can” statements.
- I can explain how proof by induction works
- I can use induction to prove results about sums of series
- I can use induction to prove divisibility results
- I can use induction to prove results about matrices
Practise this topic
2 resources⚙️ Worksheet
Proof by Induction
Prove by induction: sums of polynomials, fractions and powers, divisibility (one power, then two powers or an n term), first- and second-order recurrence relations, powers of matrices and nth derivatives (including sinh and…
🧮 ToolVisual Proofs
Animated visual proofs of Pythagoras’ theorem, of the sums of integers, odd numbers, squares and cubes, and of key results in algebra, geometric series, trigonometry and inequalities. They play like Shape Formulas: drag the bar…
These are the pages for Proof by induction in the A Level Further Maths scheme of work, following Pearson Edexcel A Level Further Mathematics (9FM0). Open this topic in Mr Wells Maths to see it alongside the rest of the course.