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JEE Main 2017 Mathematics question

MathematicsSequence and SeriesJEE Main 2017

If the sum of the first terms of the series is , then equals:

Answer: (2)

Solution

Simplify each surd by extracting the factor :

Missing argument for \sqrt\sqrt3 = 1·Missing argument for \sqrt\sqrt3, = = 5Missing argument for \sqrt\sqrt3, = = 9Missing argument for \sqrt\sqrt3, = = 13Missing argument for \sqrt\sqrt3.

The coefficients form an arithmetic progression with first term and common

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Question ID VK-115828