JEE Advanced Mathematics question

MathematicsSequence and SeriesJEE Advanced

Let . Then is equal to

Answer: (A)

Solution

(The lower limit of the first sum should read , i.e. .)

(2r-=+++(2n-=\{+++\}-\{+++\}

=f(2n)-\{+++\}=f(2n)-16f(n). (a) ✓

- (b) ✗: (for odd ) is

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Question ID VK-107875