Answer
An infinite sum of the form $a_{1}$ + $a_{1}$ r + $a_{1}r^{2}$ + $a_{1}r^{3}$+.................is called an infinite geometric series.
If -1$\lt$ r $\lt$ 1, it's sum S, given by the formula S = $\frac{a_{1}}{1 - r}$
The series does not have a sum if | r | $\geq$ 1.
Work Step by Step
An infinite sum of the form $a_{1}$ + $a_{1}$ r + $a_{1}r^{2}$ + $a_{1}r^{3}$+.................is called an infinite geometric series.
If -1$\lt$ r $\lt$ 1, it's sum S, given by the formula S = $\frac{a_{1}}{1 - r}$
The series does not have a sum if | r | $\geq$ 1.
