JEE Advanced Mathematics question

MathematicsSequence and SeriesJEE Advanced

The sum of terms of the series

+2·++2·++2·+

is when is even. When is odd, the sum is

Answer: (A)

Solution

When is odd, is even, so the first terms sum to (using the given result with in place of )

=.

The $

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Question ID VK-107855