Answer:
[tex]a_{n}[/tex] = 8[tex](-3)^{n-1}[/tex]
Step-by-step explanation:
The n th term of 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 = 8 and r = - 24 ÷ 8 = - 3, thus
[tex]a_{n}[/tex] = 8[tex](-3)^{n-1}[/tex]