HSC Maths Ext 2 Practice Questions - HSC Mathematics Extension 2 (NSW Higher School Certificate) Exam

To prove ∀n ∈ ℕ, P(n) by mathematical induction, which step is required after the base case?

Assume P(k+1) and deduce P(k) Assume P(k) for some k ≥ n₀ and prove P(k+1) Verify P(n) for all n ≤ 10 Show that P(n) is false for some n

Correct Answer:

Assume P(k) for some k ≥ n₀ and prove P(k+1)

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