# Arithmetic and Geometric Sequences and Series

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

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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?

Every sequence is a function from set of natural numbers to the set containing the values of the sequence.

Arithmetic sequence:

If x is the first term and y is ...

#### Solution Summary

Arithmetic and Geometric Sequences and Series are investigated.