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If a, b, c form a geometric progression, and x and y are the arithmetic means inserted between a and b, and between b and c respectively, then the value of a/x + c/y is:

1. 0
2. 1
3. 2
4. 1/2

Correct answer: 2

Solution

With x=(a+b)/2 and y=(b+c)/2, a/x + c/y = 2a/(a+b) + 2c/(b+c). Using b^2=ac this simplifies to 2.

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