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Let A 1 and A 2 be two arithmetic means and G 1 , G 2 and G 3 be three geometric means of two distinct positive numbers. Then 2 3 2 1 4 3 4 2 4 1 G G G G G + + + is equal to-

1. (A 1 + A 2 ) 2 G 1 G 3
2. 2(A 1 + A 2 ) G 1 G 3
3. (A 1 + A 2 ) 2 3 2 1 G G
4. 2(A 1 + A 2 ) 2 3 2 1 G G

Correct answer: (A 1 + A 2 ) 2 G 1 G 3

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