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If p , q , r are in one geometric progression and a , b , c are in another geometric progression, then ap, bq, cr are in

Options

  1. AArithmetic progression
  2. BGeometric progression
  3. CHarmonic progression
  4. DNone of the above

Correct answer

B. Geometric progression

Step-by-step solution

Let the common ratio be K ₁ for p , q and r . aligned & q = K ₁ p & & r = ( K ₁ )^2 p aligned Let the common ratio be K ₂ for a , b and c aligned & b = K ₂ a & & c = ( K ₂ )^2 a & bq = ( K ₁ ~K ₂ ) ap & & Cr = ( K ₁ ~K ₂ )^2 ap aligned So ap, bq, cr are in G.P.

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