In the geometric sequence the terms are represented as,
[tex]a,ar^1,ar^2,ar^3[/tex]
Here, the sequence given is 2, 4, 6, 8
so, first term is a = 2
Common ratio is, the subtraction of second term to first term that is
[tex]\begin{gathered} a2-a1=4-2 \\ \text{ = 2} \end{gathered}[/tex]
Now, the next term which we need to find is fifth that is
[tex]ar^4=2(2)^4[/tex][tex]ar^4=32[/tex]
The correct option is (b)
