Mathematics · Sequences and Series
Let A1 and A2 be two arithmetic means, and G1, G2, G3 be three geometric means placed between two distinct positive numbers. Then the expression G14 + G24 + G34 + G12G32 is equal to:
- 12(A1 + A2)G12G32
- 2(A1 + A2)G12G32
- 3(A1 + A2)2G1G3✓
- 42(A1 + A2)G1G3
Correct answer
(A1 + A2)2G1G3
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