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# Series and Functions: Real Life Examples of Arithmetic and Geometric Series; Relationship of Series to Functions

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Using the index of a series as the domain and the value of the series as the range, is a series a function?

Include the following in your answer:

Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series?

Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series?

Give real-life examples of both arithmetic and geometric sequences and series. Explain how these examples might affect you personally.

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#### Solution Preview

1. Yes. It is a function. Since for each value in the domain, i.e. for each index of a series, there is one and only one result in the range, i.e, the value of a series at that index.

2. Linear

3. Exponential

4. Real life example ...

#### Solution Summary

Real life examples of arithmetic and geometric series and relationship of series to functions are investigated. Brief responses are given along with calculation.

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