Question

Let A₁ and A₂ be two arithmetic means and G1, G2, G3 be three geometric means of two distinct positive numbers. Then $G_{1}^{4} + G_{2}^{4}+ G_{3}^{4} +G_{1}^{2}G_{3}^{2}$ is equal to

• A. 2(A1 + A2) G1G3
• B. (A1 + A2) $G_{1}^{2}G_{3}^{2}$
• C. (A1 + A2)2 G1G3
• D. 2(A1 + A2) $G_{1}^{2}G_{3}^{2}$

Answer 1

Answer: (C)

(A1 + A2)2 G1G3

Answer 2

The correct option is(C): (A1 + A2)2 G1G3