Statement I : For every natural number \[n\ge 2,\frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+.....+\frac{1}{\sqrt{n}}>\sqrt{n}\] |
Statement II: For every natural number \[n\ge 2,\sqrt{n(n+1)}<n+1\] |
A) Statement I is true, Statement II is true; Statement II is a correct explanation for Statement
B) Statement I is true, Statement II is true; Statement II is not a correct explanation for Statement .I
C) Statement I is true; Statement II is false
D) Statement I is false; Statement II is true
Correct Answer: B
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