Connect the ideas.
- State the integer domain.
- Check its first case.
- Assume one arbitrary kth case conditionally.
- Derive its successor without circular reasoning.
- Exhibit integer multipliers in divisibility proofs.
- Conclude only the domain reached by the base and step.
Put it together.
Choose a paper and show your working.
Mathematical induction — Practice test 1
Proof structure, distinct summation identities, integer divisibility and criticism of arguments.
10 questions · 58 marks · 75 minutes · By handMathematical induction — Practice test 2
Proof structure, distinct summation identities, integer divisibility and criticism of arguments.
10 questions · 57 marks · 75 minutes · By handMathematical induction — Practice test 3
Proof structure, distinct summation identities, integer divisibility and criticism of arguments.
10 questions · 57 marks · 75 minutes · By handMathematical induction — Practice test 4
Proof structure, distinct summation identities, integer divisibility and criticism of arguments.
10 questions · 58 marks · 75 minutes · By handMathematical induction — Practice test 5
Proof structure, distinct summation identities, integer divisibility and criticism of arguments.
10 questions · 57 marks · 75 minutes · By handMathematical induction — Practice test 6
Proof structure, distinct summation identities, integer divisibility and criticism of arguments.
10 questions · 56 marks · 75 minutes · By hand
Curriculum reference & lesson scope
SACE Board of South Australia
Stage 2 Specialist mathematical induction. Explicit summation, power and divisibility identities; induction of inequalities or recursive formulae is not required.
Official curriculum source ↗