If a_1,a_2,... are in A.P., then, 1/{\sqrta_1+\sqrta_2}+1/{\sqrta_2+\sqrta_3} +...+1/{\sqrta_n+\sqrta_{n+1}} is equal to

CAT 2019 Shift 1 Paper

Question : 87 of 100

Marks: +1, -0

a_1,a_2,...

are in A.P., then,

1/{√a_1+√a_2}+1/{√a_2+√a_3}

+...+1/{√a_n+√a_{n+1}}

is equal to

Solution:

Shortcut:
For such questions, we can take value of

n=1

. The right option must give the first term i.e.

\;{1}/{√{a_{1}}+√{a_{2}}}

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