The consecutive terms of a geometric sequence have a common ratio.
We have the sequence given by 3 ,a ,b , 24
24/b = b/a = a/3
=> 24a = b^2 or a = b^2/24
substitute in b/a = a/3
=> 24b/b^2 = b^2/3*24
=> 24/b = b^2/24*3
=> b^3 = 24*24*3
=> b = 3^3*8*8
=> b = 3*4
=> b = 12
a = 144/24 = 6
The value of a = 6 and b = 12
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