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Statement 1: For every natural number n ...

Statement 1: For every natural number `n ge 2 (1)/(sqrt(1))+(1)/(sqrt(2))+…+(1)/(sqrt(n)) gt sqrt(n)`.
Statement 2: For every natural number `n ge 2,sqrt(n(n+1)) lt n+1`.

A

Statement 1 is false, statement 2 is true.

B

Statement 1 is true, statement 2 is true, statement 2 is a correct explanation for statement 1.

C

Statement 1 is true, statement 2 is true, statement 2 is not a correct explanation for statement 1.

D

Statement 1 is true, statement 2 is false.

Text Solution

Verified by Experts

The correct Answer is:
C
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