Mathematics · Mathematical Induction
A student was asked to prove a statement P(n) by mathematical induction. He proved that P(k + 1) is true whenever P(k) is true for all k > 5 (where k ∈ N) and also verified that P(5) is true. On the basis of this, he can conclude that P(n) is true for:
- 1all n < 5
- 2all n ≥ 5✓
- 3all n > 5
- 4all n ∈ N
Correct answer
all n ≥ 5
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