Respuesta :

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]