We have that the first term of the progression is
b=4
From the Question we are told that
Third terms of a Geometric Progression is 48
Sum of third and fourth terms is 144
[tex]x_3+x_4=144[/tex]
Generally the equation for the common ratio is mathematically given as
[tex]\frac{br^2+br^3}{br+br^2}=\frac{144}{48}\\\\\frac{br^2+br^3}{br+br^2}=3[/tex]
r=3
Therefore
Since
[tex]br+br^3=48\\\\b(3)+b(3)^3=48[/tex]
b=4
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