# Arithmetic and Geometric Series Sequences

Using the index "n" of the partial sums of a series as the domain, and the value of the corresponding partial sums of the series "Sn" as the range, is a series a function?

Please include in your answer:

- Which of the basic functions, (i.e. - linear, quadratic, rational, exponential), is related to the arithmetic series?

- Which of the basic functions, (i.e. - linear, quadratic, rational, exponential), is related to the geometric series?

Give a couple of real life examples of both the Arithmetic and Geometric sequences and series. Also, explain how these types of examples might affect you personally.

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#### Solution Preview

Pleas see the detailed solution in the attached WORD file.

Yes, it is a function by using the index of a sequence as the domain and the value of the sequence as the range. Each ...

#### Solution Summary

The solution explains the definition of the function. It explains the type of the functions that the arithmetic and geometric series/sequences belong to using the index as the independent variable and the value of the series as the range. It also includes real life applications of the sequences.