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Explanation:

The best approach to solving such questions in exams is to put values and then cross checking the options.

Let n = 2, so we will have three terms in AP (a1, a2 and a3). Let a1 = a2 = a3 = 1.

1/(√a1 + √a2) = 1/2.

1/(√a2 + √a3) = 1/2.

∴ [1/(√a1 + √a2)] + [1/(√a2 + √a3)] = (1/2) + (1/2) = 1.

Put n = 2 in;

Option 1: 2/0 = not defined. So this option is incorrect.

Option 2: 2/(1 + 1) = 2/2 = 1. So this option is correct.

Option 3: (2 − 1)/(1 + 1) = 1/2. So this option is incorrect.

Option 4: (2 − 1)/(1 + 1) = 1/2. So this option is incorrect.

Hence, option (b).

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