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series is a function with index as independent variable

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

Include the following in your answer:

Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence?
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence?
Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric. Explain how these examples would affect you personally.

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Solution Summary

The solution explains the definition of the function. It explains the type of the functions that the arithmetic and geometric series 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.

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

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