Answer:
[tex]a_{n}[/tex] = 8[tex](-3)^{n-1}[/tex]
Step-by-step explanat
There is a common difference r between consecutive terms, that is
r = - 24 ÷ 8 = 72 ÷ - 24 = - 3
This indicates the sequence is geometric with explicit formula
[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 = - 3 , thus
[tex]a_{n}[/tex] = 8[tex](-3)^{n-1}[/tex]
