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Help me answer: - Mathematical Induction - JEE Main

Directions : Question is Assertion­-Reason type. This question contains two statements :

Statement­-1 (Assertion) and Statement­-2 (Reason). Each of these questions also has four alternative choices, only one of which is the correct answer. You have to select the correct choice .

Statement­-1: For every natural number n\geq 2,\; \frac{1}{\sqrt{1}}+\frac{1}{\sqrt{2}}+....+\frac{1}{\sqrt{n}}> \sqrt{n}.

Statement­-2: For every natural number  n\geq 2,\; \sqrt{n(n+1)}< n+1 .

  • Option 1)

    Statement­-1 is true, Statement-­2 is false

  • Option 2)

    Statemen­-1 is false, Statement-­2 is true

  • Option 3)

    Statement­-1 is true, Statement­-2 is true Statement­- 2 is a correct explanation for Statement­-1

  • Option 4)

    Statement­-1 is true, Statement­-2 is true Statement­- 2 is not a correct explanation for Statement­-1

 
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