Question 39485
Using the index of a series as the domain and the value of the series as the range, is a series a function? 
Yes, because each index value(The number of the term) there is one value(the 
term itself).
Include the following in your answer: 
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series?
Linear because each successive term has a common difference.  This difference
corresponds to the slope of a linear function.

 
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric series? a(n)=[a(1)]r^(n-1) indecating a consistent
multiply of the 1st term be successive powers of the ratio r.
 
Give real-life examples of both arithmetic and geometric sequences and series. Explain how these examples might affect you personally.
Arithmetic: Cost associated with a quantity of a particular item.
For example Cost = 10x is the cost of x-number of an item that cost $10.
Personal impact.  Buy more of a kind and it will cost you more.
Geometric: Value of a money account after n periods of compounding at annual interest "i".
Value=(initial investment)(1+i)^(n)
Very important to understand the powerful building power of compounded savings.
For example of the $22 given to the American Indians for the right of Dutch 
settlers to stay on Manhatten Island had been invested in a compound interest
account at that time it would be worth enough now to purchase all the property
on Manhattan Island.
Cheers,
Stan H.
Cheers,
Stan H.