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Jee Main 2025 — Medium JEE math MCQ

Let \(T_r\) be the \(r^{th}\) term of an A.P. If for some \(m, T_m = \frac{1}{25}, T_{25} = \frac{1}{25}\), and \(20 \sum_{r=1}^{25} T_r = 13\), then \(5m \sum_{r=m}^{m+2} T_r\) is equal to \[
  1. A. \ 98 \quad
  2. B. \ 126 \quad
  3. C. \ 142 \quad
  4. D. \ 112. \]

Solution

The correct option is **B**. (B. \ 126 \quad)

MATH

medium • PYQ Reworded
Question
Read carefully, then pick the best option.
Let TrT_r be the rthr^{th} term of an A.P. If for some m,Tm=125,T25=125m, T_m = \frac{1}{25}, T_{25} = \frac{1}{25}, and 20∑r=125Tr=1320 \sum_{r=1}^{25} T_r = 13, then 5m∑r=mm+2Tr5m \sum_{r=m}^{m+2} T_r is equal to \[
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Jee Main 2025 — Medium JEE Mathematics MCQ | MyGoalPrep