SOLUTION: PLEASE, PLEASE HELP ME!!!!!!!!!!! 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

Algebra ->  Sequences-and-series -> SOLUTION: PLEASE, PLEASE HELP ME!!!!!!!!!!! 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       Log On


   



Question 44658: PLEASE, PLEASE HELP ME!!!!!!!!!!!
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.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function?
YES
-----------------------------
Include the following in your answer:
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence?
LINEAR because you are adding a constant number called the difference.
-----------------------------------
Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence?
EXPONENTIAL because you are multiplying by a constant call "r"
---------------------------------------
Give at least two real-life examples of a sequences or series. One example should be arithmetic, and the second should be geometric
Simple interest investments correspond to arithmetic sequences.
Compound interest investments correspond to geometric sequences.
Compound interest results in your money growing faster.
Cheers,
Stan H.