Mathematics · Mathematical Induction
Rahul was asked to prove a statement P(n) by the principle of mathematical induction. He proved that P(k + 1) is true whenever P(k) is true for all natural numbers k, and also that P(9) is true. Then P(n) is true:
- 1for all n ≥ 9✓
- 2for all natural numbers n
- 3for all n < 9
- 4for all n > 8
Correct answer
for all n ≥ 9
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