cal92 - Arkansas Tech University MATH 2924 Calculus II Dr Marcel B Finan 18 Geometric Series Geometric series are frequently used in mathematics They

cal92 - Arkansas Tech University MATH 2924 Calculus II Dr...

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Arkansas Tech University MATH 2924: Calculus II Dr. Marcel B. Finan 18Geometric 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.

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