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A finite series can be an arithmetic series or a geometric series
The given parameters are:
a1 = 6
r = 2
The above represents a geometric series
The nth term of a geometric series is calculated as:
[tex]a_n = a_1 * r^{n-1}[/tex]
So, we have:
[tex]a_2 = 6 * 2^1 = 12[/tex]
[tex]a_3 = 6 * 2^2 = 24[/tex]
[tex]a_4 = 6 * 2^3 = 48[/tex]
[tex]a_5 = 6 * 2^4 = 96[/tex]
[tex]a_6 = 6 * 2^5 = 192[/tex]
So, we have the following ordered pairs
(x,y) = (1,6) (2,12) (3,24) (4,48) (5,96) (6,192)
See attachment for the graph of the first six terms of the finite series
Read more about geometric series at:
https://brainly.com/question/12006112