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JEE MATHEMATICS MCQ: SEQUENCE OF SERIES

1 Easy
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Analyzing +4 | -1
If S1,S2{S_1},{S_2} and S3{S_3} denote the sum of first n1,n2{n_1},{n_2} and n3{n_3} terms respectively of an A.P., then S1n1(n2−n3)+S2n2(n3−n1)+S3n3(n1−n2)=\frac{{{S_1}}}{{{n_1}}}\left( {{n_2} - {n_3}} \right) + \frac{{{S_2}}}{{{n_2}}}\left( {{n_3} - {n_1}} \right) + \frac{{{S_3}}}{{{n_3}}}\left( {{n_1} - {n_2}} \right) =
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Correct option: A
0
Option A (0) is correct because the given expression simplifies to zero when substituting the formulas for the sum of an arithmetic progression.

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