Answer:
3
Step-by-step explanation:
The formula for the sum of an infinite geometric series is
[tex]\frac{a}{1-r}[/tex]
Where a is the first term and r is the common ratio. We can see that the first term is 2, and to find the common ratio, we can divide a term by the one before it. We can get:
[tex]\frac{\frac{2}{3}}{2} =\frac{2}{3} *\frac{1}{2}=\frac{1}{3}[/tex]
Now, we have all the values need to evaluate the formula. We can plug them in:
[tex]\frac{2}{1-\frac{1}{3} } \\\frac{2}{\frac{2}{3} } \\2*\frac{3}{2}\\3[/tex]
