Q.

If a,b,c are positive numbers in A.P such that their product is 64 then the minimum value of ‘b’ is

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answer is 4.

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Detailed Solution

abc=64 2b=a+c since a,b,c are in A.P⇒a+b+c3≥abc3     since A.M≥G.M    ⇒3b3≥643 ⇒b≥4
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