Answer:
This infinite geometric series is divergent and thus we cannot find the sum. The sum is infinity.
Step-by-step explanation:
<u>There are two types of geometric series: convergent and divergent.</u>
The sum of an infinite geometric sequence is given by the formula:
Sum = ![\frac{a}{1-r}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7B1-r%7D)
Where,
r is the common ratio and
![|r|](https://tex.z-dn.net/?f=%7Cr%7C%3C1)
If absolute value of r is NOT less than 1, then the series is divergent and sum cannot be found.
<u><em>For our given problem,
, clearly
, which is NOT less than 1, so the series is divergent and sum cannot be found.</em></u>