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CAT 2019 Progression — Previous Year Question

Year

CAT 2019

Section

Quantitative

Topic

Progression

Difficulty

Hard

Question

Slot-2

Let a1,a2,… be integers such that a1−a2+a3−a4+⋯+(−1)n−1an=n,for n≥1.\text{Let } a_1, a_2, \dots \text{ be integers such that } a_1 - a_2 + a_3 - a_4 + \dots + (-1)^{n-1} a_n = n, \quad \text{for } n \geq 1. Then a51+a52+⋯+a1023 equals ?\text{Then } a_{51} + a_{52} + \dots + a_{1023} \text{ equals ?}

-1

1

0

10

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