Assignment:
Using the index "n" of the partial sums of a series as the domain, and the value of the corresponding partial sums of the series "Sn" as the range, is a series a function?
Please include in your answer:
- Which of the basic functions, (i.e. - linear, quadratic, rational, exponential), is related to the arithmetic series?
- Which of the basic functions, (i.e. - linear, quadratic, rational, exponential), is related to the geometric series?
Give a couple of real life examples of both the Arithmetic and Geometric sequences and series. Also, explain how these types of examples might affect you personally.
Provide complete and step by step solution for the question and show calculations and use formulas.