Question

If three positive real numbers a,b,c are in AP such that abc=4, then the minimum value of b is


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Answer 1

Answer:

We know, from AM≥GM, for positive quantities, that

3

(a+b+c)

≥

3

abc

3

(a+c)+b

≥

3

abc

But 2b=(a+c).

This implies

3

3b

≥(4)

1/3

b≥(2)

2/3

Answer 2

Answer:

.

Step-by-step explanation:

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