Answer:
[tex]-288[/tex]
Step-by-step explanation:
The sum of the infinite geometric series is defined as:
[tex]S=\frac{a_1}{1-r}[/tex]
Where [tex]a_1[/tex] is the first time and [tex]r[/tex] is the common ratio, where [tex]r[/tex] lies in the range of:
[tex]|r|<1[/tex]
[tex]S=\frac{-144}{1-\frac{1}{2}}=\frac{-144}{\frac{1}{2}}=-288[/tex]
