Answer:
A
Step-by-step explanation:
There is a common ratio r between consecutive terms
r = 8 ÷ 2 = 32 ÷ 8 = 128 ÷ 32 = 4
This indicates the sequence is geometric with nth term ( explicit formula )
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 2 and r = 4 , then
[tex]a_{n}[/tex] = 2 . [tex]4^{n-1}[/tex] → A
