question_answer

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