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Mathematics
If three positive numbers a, b and c are in A.P. such that abc = 8, then the minimum possible value of b is :
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Q. If three positive numbers $a, b$ and $c$ are in $A.P.$ such that $abc = 8$, then the minimum possible value of $b$ is :
JEE Main
JEE Main 2017
Sequences and Series
A
2
64%
B
$4^{\frac{1}{3}}$
18%
C
$4^{\frac{2}{3}}$
9%
D
4
9%
Solution:
$a + c = 2b $
$a.c.\left(\frac{a+c}{2}\right)=8$