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Question

If three positive real numbers a, b, c are in A.P., with abc=4, then the minimum value of b is


A

41/3

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B

3

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C

2

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D

1/2

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Solution

The correct option is A

41/3


Using AM ≥ GM

a+b+c3(abc)13

3b3(abc)13 (since 2b = a + c)

b ≥ (4)13


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