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AP EAMCET20228 Jul 2022Evening ShiftMathematicsSequences and SeriesActual

If r₁, r₂ and r₃ of a A B C are in Harmonic progression, then a, b and c will be in

Options

  1. Aarithmetic progression
  2. Bgeometric progression
  3. Charmonic progression
  4. Darithmetico-geometric progression

Correct answer

A. arithmetic progression

Step-by-step solution

r₁, r₂, r₃ are in HP. array ll & 2 r₂ = 1 r₁ + 1 r₃ & 2(s-b) = s-a + s-c & 2 s-2 b=s-a+s-c & -2 b=-a-c & 2 b=a+c & a, b and c are in AP . array

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