Answer:
a₉ = 1171875
Step-by-step explanation:
There is a common ratio r between consecutive terms
r = - 15 ÷ 3 = 75 ÷ = 15 = - 5
This indicates the sequence is geometric with n th term
[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 3 and r = - 5, then
a₉ = 3 × [tex](-5)^{8}[/tex]
= 3 × 390625
= 1171875
