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Series and 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?

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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 Summary

This shows how to determine if a series is a function, and relates functions to arithmetic and geometric series.

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