Answer:
- 4096
Step-by-step explanation:
There is a common ratio between consecutive terms of the sequence.
r = - 4 ÷ 2 = 8 ÷ - 4 = - 2
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a [tex]r^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = 2 and r = - 2 , thus
[tex]a_{12}[/tex] = 2 × [tex](-2)^{11}[/tex] = 2 × - 2048 = - 4096
