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Jee Main 2025 — Medium JEE math MCQ

Let \(S_n = \frac{1}{2} + \frac{1}{9} + \frac{1}{12} + \frac{1}{21} + \ldots \) upto \(n\) terms. If the sum of the first six terms of an A.P. with first term \(-p\) and common difference \(p\) is \(\sqrt{2025} S_{2025}\), then the absolute difference between 20th and 15th terms of the A.P. is
  1. A. 20
  2. B. 90
  3. C. 45
  4. D. 25

Solution

The correct option is **D**. (D. 25)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let Sn=12+19+112+121+…S_n = \frac{1}{2} + \frac{1}{9} + \frac{1}{12} + \frac{1}{21} + \ldots upto nn terms. If the sum of the first six terms of an A.P. with first term −p-p and common difference pp is 2025S2025\sqrt{2025} S_{2025}, then the absolute difference between 20th and 15th terms of the A.P. is
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep