If S 1 , S 2 and S 3 be respectively the sums of n, 2n and 3n terms of a GP then, the…

Mathematics · JEE Main · NTA ExamsProgression and Series

If S1, S2 and S3 be respectively the sums of n, 2n and 3n terms of a GP then, the value of \(5_{1}\left[5_{3}-5_{2}\right]\) is
  1. \(\left(5_{2}-5_{1}\right)^{2}\)
  2. \(\left(5_{3}-5_{1}\right)^{2}\)
  3. \(\left[5_{3}-5_{2}\right]^{2}\)
  4. None of these

Answer

(B) (5_ 3 -5_ 1 )^ 2

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