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Statement-1 : For every natural number n ≥ 2, 1/√1 + 1/√2 + ....... + 1/√n > √n. Statement-2 : For every natural number n ≥ 2, √(n(n+1)) < n+1.

1. Statement -1 is false, Statement-2 is true
2. Statement -1 is true, Statement-2 is true; Statement -2 is a correct explanation for Statement-1
3. Statement -1 is true, Statement-2 is true; Statement -2 is not a correct explanation for Statement-1
4. Statement -1 is true, Statement-2 is false

Correct answer: Statement -1 is true, Statement-2 is true; Statement -2 is a correct explanation for Statement-1

Solution

Statement-1 is true because the sum of the series grows faster than the square root function, while Statement-2 is true as it shows that the average of two consecutive integers is less than the larger integer, reinforcing the validity of Statement-1.

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