If S_r denotes the sum of the first r terms of an AP then S_ 3r -S_ r-1 S_ 2r -S_ 2r-1 is equal to

JEE Advanced Mathematics question

If denotes the sum of the first terms of an AP then is equal to

Answer: (B)

, which is a sum of consecutive terms of the AP. In such a sum (an odd number of terms) the sum equals

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Question ID VK-107804