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.

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

(A) Statement - 1 is false, Statement - 2 is true

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

(D) Statement - 1 is true, Statement - 2 is false

Complex Numbers and Quadratic Equations: JEE Main 2008 Mathematics question

JEE Main 2008 · Annual, Paper 1 · Q5066

JEE Main 2008Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

STATEMENT - 1 : For every natural number

n \ge 2,

{1 \over {\sqrt 1 }} + {1 \over {\sqrt 2 }} + ........ + {1 \over {\sqrt n }} > \sqrt n .

STATEMENT - 2 : For every natural number

n \ge 2,

\sqrt {n\left( {n + 1} \right)} < n + 1.

JEE Main 2008 · Annual, Paper 1 · Q5066

JEE Main 2008Annual, Paper 1MathematicsMediumComplex Numbers and Quadratic Equations264× since 2002

STATEMENT - 1 : For every natural number

n \ge 2,

{1 \over {\sqrt 1 }} + {1 \over {\sqrt 2 }} + ........ + {1 \over {\sqrt n }} > \sqrt n .

STATEMENT - 2 : For every natural number

n \ge 2,

\sqrt {n\left( {n + 1} \right)} < n + 1.