Answer:
see explanation
Step-by-step explanation:
These are the terms of a geometric sequence with n th term
[tex]a_{n}\\[/tex] = a[tex](r)^{n-1}[/tex]
where re a is the first term and r the common ratio
r = 9 ÷ - 3 = - 27 ÷ 9 = 81 ÷ - 27 = - 3 ← common ratio
and a = - 3, thus
[te x]a_{n}[/tex] = - 3[tex](-3)^{n-1}[/tex] ← explicit formula