is a sequence a function? Include the following in your answ

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misstina

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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.
 
What is your thinking? What have you tried? How far have you gotten? Where are you stuck?

Please be specific. Thank you.

Eliz.
 
My biggest issue is trying to find the information to understand the question in the first place.

I do know that the basic functions is linear that is related to the arithmetic sequence?
And the basic function is exponential that is related to the geometric sequence

But im having a hard time understanding this period.
 
In almost any basic analysis course, a sequence is defined as: A function from the natural numbers to a final set. That final set can be the real numbers, the complex numbers, vectors, or other sets.

I did not answer before because frankly the rest of the question makes no sense to me in light of the definition above.

You see, a sequence is a discrete function; that is, it has only a countable range. Therefore, none of the rest of your question can really be answered.
 
What would be a real life example of an arithmetic sequence?
And a real life example of a geometric sequence
 
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