Learning how to find the sum of an infinite geometric series

The video tutorial explains the concept of an infinite series, focusing on identifying the first term and determining the common ratio. It guides through simplifying expressions and adding fractions to calculate the sum of a geometric series, concluding with a final result of 2/3.

What is the significance of multiplying by the reciprocal in the context of the geometric series?

What is the final sum of the geometric series as calculated in the text?