Answer:
[tex]a_{n}[/tex] = - 2[tex](-4)^{n-1}[/tex]
Step-by-step explanation:
The n th term ( explicit formula ) for a geometric sequence is
[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 = 8 ÷ - 2 = - 4, thus
[tex]a_{n}[/tex] = - 2[tex](-4)^{n-1}[/tex]
