Question

Someone please help me with this!! <3

Answer 1

Answer: Um, your sum should be 4.

Step-by-step explanation: The sum of an infinite geometric series can be found using the formula $\frac{a}{1-r}$ where a is the first term and r is the ratio between the successive terms.

For $a_{1}$, 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 $r=\frac{a_{n+1}}{a_{n}}$ and simplifying: $r=\frac{3}{4}$.

For 1–r, substitute the values of the ratio and first term into the sum formula: $\frac{1}{1-\frac{3}{4}}$; ∴, your sum should be 4.