If a 1 ,a 2 ,..... are in A.P., then, $\frac{1}{\sqrt{a_1} + \sqrt{a_2}} + \frac{1}{\sqrt{a_2} + \sqrt{a_3}} + .... + \frac{1}{\sqrt{a_n} + \sqrt{a_{n+1}}}$ is equal to

Question

If a 1 ,a 2 ,..... are in A.P., then, $\frac{1}{\sqrt{a_1} + \sqrt{a_2}} + \frac{1}{\sqrt{a_2} + \sqrt{a_3}} + .... + \frac{1}{\sqrt{a_n} + \sqrt{a_{n+1}}}$  is equal to

cdquestions Admin · Accepted Answer

Choose n = 1. The correct option should yield the first term i.e 1 / &radic;a1 + &radic;a2. Only option (2) satisfies this condition.

Answer

$\frac{n-1}{\sqrt{a_1}+\sqrt{a_{n-1}}}$

Answer

$\frac{n}{\sqrt{a_1}+\sqrt{a_{n+1}}}$

Answer

$\frac{n-1}{\sqrt{a_1}+\sqrt{a_{n}}}$

Answer

$\frac{n}{\sqrt{a_1}-\sqrt{a_{n+1}}}$

If a₁,a₂,..... are in A.P., then, \(\frac{1}{\sqrt{a_1} + \sqrt{a_2}} + \frac{1}{\sqrt{a_2} + \sqrt{a_3}} + .... + \frac{1}{\sqrt{a_n} + \sqrt{a_{n+1}}}\) is equal to

The Correct Option is B

Solution and Explanation

Questions Asked in CAT exam

If a1,a2,..... are in A.P., then, \(\frac{1}{\sqrt{a_1} + \sqrt{a_2}} + \frac{1}{\sqrt{a_2} + \sqrt{a_3}} + .... + \frac{1}{\sqrt{a_n} + \sqrt{a_{n+1}}}\) is equal to

The Correct Option is B

Solution and Explanation

Questions Asked in CAT exam

If a₁,a₂,..... are in A.P., then, \(\frac{1}{\sqrt{a_1} + \sqrt{a_2}} + \frac{1}{\sqrt{a_2} + \sqrt{a_3}} + .... + \frac{1}{\sqrt{a_n} + \sqrt{a_{n+1}}}\) is equal to