Answer: Um, your sum should be 4.
Step-by-step explanation: The sum of an infinite geometric series can be found using the formula [tex]\frac{a}{1-r}[/tex] where a is the first term and r is the ratio between the successive terms.
For [tex]a_{1}[/tex], find the first term in the series by substituting in the lower bound and simplifying: a=1.
For r, find the ratio of successive terms by plugging into the formula [tex]r=\frac{a_{n+1}}{a_{n}}[/tex] and simplifying: [tex]r=\frac{3}{4}[/tex].
For 1–r, substitute the values of the ratio and first term into the sum formula: [tex]\frac{1}{1-\frac{3}{4}}[/tex]; ∴, your sum should be 4.
