Let P, Q, R and S be the sum of n terms, 2n terms, 3n terms and 4n terms respectively of an AP such that Q=3P. Which one of the following is correct?

NDA 2026 Mathematics question

Let , , and be the sum of terms, terms, terms and terms respectively of an AP such that . Which one of the following is correct?

Answer: (A)

Let the first term be and the common difference ; . : \dfrac{3n}{2}$[2a+(n-1)d] ⇒ 4a+(4n-2)d = 6a+(3n-3)d

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Question ID VK-030403