GATE CE 2018 Set 1 — Question 9

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MCQ+2 / -0.67MediumSeriesQuantitative AptitudeGeneral Aptitude

General Aptitude → Quantitative Aptitude → Series

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Question

Consider a sequence of numbers a1,a2,a3,,ana_1, a_2, a_3, \dots, a_n where an=1n1n+2a_n = \frac{1}{n} - \frac{1}{n+2}, for each integer n>0n > 0. What is the sum of the first 50 terms?
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