If three positive numbers a , b and c are in A.P. such that a b c = 8 , then the minimum possible value of b…

If three positive numbers a, b and c are in A.P. such that abc=8, then the minimum possible value of b is:
  1. 423 
  2. 2
  3. 413
  4. 4

Solution

As a+c=2b,   

Using A.M≥G.M 

⇒a+b+c3≥abc13 

⇒3b3≥813

b≥2 

∴ bmin=2

Asked in: JEE Main 2017 (09 Apr Online)

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