Please Help?

Question

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? and why

Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the geometric sequence? and why

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 1

Yes it is a function
arithmetic squences are linear function as a_n =a_1 +n *r
geometric sequences are exponential functions as a_n =a_1*r^n
Your age is an arithmetic sequence
The Amount of a capital placed at interest r is a geometric sequence as if compounded yearly
A=P(1+r)^n

Answer 2

linear between two or one variables
quadratic X^2
rational is expression is eg like X+2/X+3= 5
exponential is related to exponents