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If one geometric G and two arithmetic means A1 and A2 are inserted between two distinct positive numbers, then 2A1A2G2A2A1G equal to 

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detailed solution

Correct option is B

Let two distinct positive numbers be a and b.We have                            2A1−A2=2(a+d)−(a+2d)=aand    2A2−A1=2(b−d)−(b−2d)=bThus, 2A1−A2G2A2−A1G=abG2=1


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