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CAT 2019 Progression — Previous Year Question

Year

CAT 2019

Section

Quantitative

Topic

Progression

Difficulty

Hard

Question

Slot-1

If a1,a2,…a_1, a_2, \ldots are in Arithmetic Progression (A.P.), then the value of the expression

1a1+a2+1a2+a3+⋯+1an+an+1\dfrac{1}{\sqrt{a_1} + \sqrt{a_2}} + \dfrac{1}{\sqrt{a_2} + \sqrt{a_3}} + \cdots + \dfrac{1}{\sqrt{a_n} + \sqrt{a_{n+1}}}
is equal to:

n / (√a₁ + √aₙ₊₁)

n−1a1+an\frac{n - 1}{\sqrt{a_1} + \sqrt{a_n}}

na1−an+1\frac{n}{\sqrt{a_1} - \sqrt{a_{n+1}}}

n−1a1+an−1\frac{n - 1}{\sqrt{a_1} + \sqrt{a_{n-1}}}

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