STATEMENT - 1: For every natural number n \geq 2, {1}/{\sqrt{1}}+ {1}/{\sqrt{2}}+. . . . . . . . .+ {1}/{\sqrt{n}}>\sqrt{n} STATEMENT - 2 : For every natural number n \geq 2, \sqrt{n(n+1)}< n+1 [AIEEE 2008]

Correct Answer is : Statement −1 is true, Statement −2 is true; Statement −2 is a correct explanation for statement - 1

Statement -1 is false, Statement -2 is true

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

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

Statement -1 is true, Statement - 2 is false

Quadratic Equation and Inequalities Part 1

Section: Mathematics

Question : 79 of 100

Marks: +1, -0

STATEMENT - 1: For every natural number n≥2,
‌

√1

+‌

√2

+.........+‌

√n

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

[AIEEE 2008]

Statement −1 is false, Statement −2 is true
Statement −1 is true, Statement −2 is true; Statement −2 is a correct explanation for statement - 1
Statement - 1 is true, Statement - 2 is true; Statement - 2 is not a correct explanation for Statement - 1
Statement −1 is true, Statement - 2 is false

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