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09-02-2024
Mathematics

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Let A₁ and A₂ be two arithmetic means and G₁,G₂,G₃ be three geometric means of two distinct positive numbers. Then G⁴₁+G⁴₂+G⁴₃+G²₁G²₃ is equal to

A. 2(A₁+A₂)G₁G₃
B. 2(A₁+A₂)G²₁G²₃
C. (A₁+A₂)2G₁G₃
D. (A₁+A₂)G²₁G²₃

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