Determining the sum of a geometric sum when there is no sum

The video tutorial explains how to define the sum of an infinite series, focusing on geometric series. It covers the importance of writing the series in a specific format and determining the first term. The formula for the sum of an infinite geometric series is introduced, and the process of finding the common ratio R is detailed. The tutorial concludes by discussing the conditions under which the sum of the series exists, noting that if the absolute value of R is greater than one, the series does not have a sum.

What is the formula for the sum of an infinite geometric series?

What is the first term (a sub one) in the given example?

How do you determine the common ratio (R) in an infinite series?

What happens when the absolute value of R is greater than one?

Explain why there is no sum for the infinite series in this example.