Arkansas Tech UniversityMATH 2924: Calculus IIDr. Marcel B. Finan18Geometric SeriesGeometric series are frequently used in mathematics. They provide a goodintroduction of infinite series which we will discuss in the next section.Afinite geometric seriesis a finite sum that starts with an initial valueaand then obtain each new term of the series by multiplying by acommonratior.Thus, an example of such a series isa+ar+ar2+ar3+· · ·+arn-1.Example 18.1A defense contractor doubles its production every year after producing 1000units in the first year. LetS10be the production after 10 years. WriteS10as a finite geometric series.