Answer:
- 6
Step-by-step explanation:
The sum to infinity of a geometric series is calculated as
S( infinity ) = [tex]\frac{a}{1-r}[/tex]
where a is the first term and r the common ratio
Here a = - 3 and r = - [tex]\frac{3}{2}[/tex] ÷ - 3 = [tex]\frac{1}{2}[/tex], thus
S( infinity ) = [tex]\frac{-3}{1-\frac{1}{2} }[/tex] = [tex]\frac{-3}{\frac{1}{2} }[/tex] = - 6
