Answer:
[tex]a_{n}[/tex] = 4[tex](-5)^{n-1}[/tex]
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁[tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 4 and r = - 5
[tex]a_{n}[/tex] = 4[tex](-5)^{n-1}[/tex]