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YEAR 12 · MATHEMATICAL INDUCTION

Topic review.

Check the key ideas, then put them together independently.

QUICK RECAP

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.

Practice tests

Complete each paper and show your working.

  1. Mathematical induction — Practice test 1

    10 questions · 58 marks · 75 minutes · By hand

    Proof structure, distinct summation identities, integer divisibility and criticism of arguments.

  2. Mathematical induction — Practice test 2

    10 questions · 57 marks · 75 minutes · By hand

    Proof structure, distinct summation identities, integer divisibility and criticism of arguments.

  3. Mathematical induction — Practice test 3

    10 questions · 57 marks · 75 minutes · By hand

    Proof structure, distinct summation identities, integer divisibility and criticism of arguments.

  4. Mathematical induction — Practice test 4

    10 questions · 58 marks · 75 minutes · By hand

    Proof structure, distinct summation identities, integer divisibility and criticism of arguments.

  5. Mathematical induction — Practice test 5

    10 questions · 57 marks · 75 minutes · By hand

    Proof structure, distinct summation identities, integer divisibility and criticism of arguments.

  6. Mathematical induction — Practice test 6

    10 questions · 56 marks · 75 minutes · By hand

    Proof structure, distinct summation identities, integer divisibility and criticism of arguments.

Back to Mathematical induction

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