Answer:
[tex]a_{4}[/tex] = 250
Step-by-step explanation:
To obtain any term in the geometric sequence multiply the previous term by the common ratio r
here r = - 5 and [tex]a_{1}[/tex] = - 2, hence
[tex]a_{2}[/tex] = - 2 × - 5 = 10
[tex]a_{3}[/tex] = 10 × - 5 = - 50
[tex]a_{4}[/tex] = - 50 × - 5 = 250
