If a 1 , a 2 , ......... are in A.P , \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}}} then , is equal to

← CAT 2019 Slot 1 QA

CAT 2019 Slot 1 QA · Question 20

If a₁, a₂, ......... are in A.P , $\frac{1}{a _{1} + a _{2}}$ + $\frac{1}{a _{2} + a _{3}}$ + ......... + $\frac{1}{a _{n} + a _{n + 1}}$ then , is equal to

A.
$\frac{n}{a _{1} + a _{n + 1}}$
B.
$\frac{n - 1}{a _{1} + a _{n}}$
C.
$\frac{n}{a _{1} - a _{n + 1}}$
D.
$\frac{n - 1}{a _{1} + a _{n - 1}}$

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