Answer:
5
Step-by-step explanation:
The nth term of the geometric sequence is
[tex]a_n=(-2)(5)^{n-1}[/tex]
In general the nth term of a geometric sequence is
[tex]a_n=a_1(r)^{n-1}[/tex]
By comparism;
[tex]r=5[/tex] is the common ratio of the sequence.
Or
[tex]a_1=(-2)(5)^{1-1}=-2[/tex]
[tex]a_2=(-2)(5)^{2-1}=-10[/tex]
Common ratio is
[tex]r=\frac{-10}{-2}=5[/tex]
