I presume that you mean a sequence {a_n; n=1, 2, ... N}

Define f from {1, 2, .. ,N} to {a_1, a_2, .. ,a_N} so that f(n)=a_n then this

is a function.

These are unrelated to the first part of the question.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.

RonL