If one geometric G and two arithmetic means A1 and A2 are inserted between two distinct positive numbers, then 2A1−A2G2A2−A1G equal to

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-1.5

-2.5

answer is B.

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Detailed Solution

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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