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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

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The sets S1,S2,S3…{S_1},{S_2},{S_3} \ldots are given by S1={21},S2={32,52},S3={43,73,103},S4={54,94,134,174},…{S_1} = \left\{ {\frac{2}{1}} \right\},{S_2} = \left\{ {\frac{3}{2},\frac{5}{2}} \right\},{S_3} = \left\{ {\frac{4}{3},\frac{7}{3},\frac{{10}}{3}} \right\},{S_4} = \left\{ {\frac{5}{4},\frac{9}{4},\frac{{13}}{4},\frac{{17}}{4}} \right\}, \ldots Then, the sum of the numbers in the set S25{S_{25}} is
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Correct option: D
326
Option D (326) is correct because the sum of the arithmetic series in set S_{25} is calculated correctly using the AP sum formula.

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