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.
Yes, the value of a series is a function of the index.
Arithmetic series is a linear function f(x) = a + b*x, where instead of real variable x we use natural number n:
f_n = a ...
This relates functions to arithmetic and geometric series and provides real-life examples of series.