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Most Important Selected Qs for JEE AdvancedMathematicsSequences and Series

If a₂ a₃ a₁ a₄ = a₂+a₃ a₁+a₄ =3 ( a₂-a₃ a₁-a₄ ) , then a₁, a₂, a₃, a₄ are in

Options

  1. AA.P.
  2. BG.P.
  3. CH.P.
  4. Dnone of these

Correct answer

C. H.P.

Step-by-step solution

1 a₄ - 1 a₃ = 1 a₂ - 1 a₁ ...(i) 3 ( 1 a₃ - 1 a₂ )= 1 a₄ - 1 a₁ ...(ii) From (1) and (2), we get 1 a₂ - 1 a₁ = 1 a₃ - 1 a₂ = 1 a₄ - 1 a₃ a ₁, a ₂, a ₃, a ₄ are in H.P.

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