SOLUTION: Please help. I do not understand at all. Thanks for all the help. Details: Using the index of a series as the domain and the value of the series as the range, is a series a functi

Question 39453: Please help. I do not understand at all. Thanks for all the help.
Details: 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
Answer by Nate(3500) (Show Source): You can put this solution on YOUR website!
Yes, these are functions.
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series?
I would suggest an arithmetic series to be a linear function. In arithmetic sequences, you would either add or subtract to get the value. In linear functions, addition and subtraction is due to the slope.
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series?
For this, I think it is represented by the exponential function. The standard form for the exponential function is: . The standard form for geometric sequences is: . They look quite alike.
An example of the arithmetic sequences could be to determine pay. If you get payed five bucks a week, you can determine how much you make a month or a year.
An example of the geometric sequences could be to determine height of a bouncy ball. If a ball's height after being dropped reduces (1/3) as a ratio to its previous bounce, you can determine its height after amount of bounces.
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