A
1) The first thing to do, is to find the common ratio. So let's pick some terms and divide each one by its previous one to get the common ratio:
[tex]\begin{gathered} \frac{2.5}{-10}=-0.25 \\ \\ -\frac{0.625}{2.5}=-0.25 \end{gathered}[/tex]
2) Now, let's take the absolute value of this ratio:
[tex]r=|-0.25|=0.25[/tex]
3) Based on that and analyzing the options, we can tell that:
[tex]|r|<1\Rightarrow Converges[/tex]
