Answer:
156250
Step-by-step explanation:
The n th term of a geometric sequence is
[tex]a_{n}[/tex] = a[tex](r)^{n-1}[/tex]
where a is the first term and r the common ratio
Here a = - 2 and r = 10 ÷ - 2 = - 5, thus
[tex]a_{8}[/tex] = - 2[tex](-5)^{7}[/tex] = - 2 × - 78125 = 156250
