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in Mathematical Induction by (50.2k points)
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Prove the statement by the Principle of Mathematical Induction :

√n < 1/√1 + 1/√2 + … 1/√n, for all natural numbers n ≥ 2.

1 Answer

+1 vote
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Best answer

According to the question,

⇒ P(k+1) is true when P(k) is true.

Therefore, by Mathematical Induction,

√n < 1/√1 + 1/√2 + … 1/√n, for all natural numbers n ≥ 2

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