... formulas that will find the nth term for the crossover points, open regions, closed regions and the total regions. I also plan to find the relationships / sequence between any two of these characteristics of the line(s). I will accomplish this by using the following formula: A+B (n+1) +0.5(n-1) (n-2) C. A = 1st term of the sequence. B = the difference between the first two terms. C = the 2nd difference (the difference of the 1st difference). Thirdly I will put all my findings onto to a table consisting of total regions, closed regions, open regions, crossover points and all of the formulas. Lastly I will try to summarize all my findings by writing up a conclusion and evaluation. Prediction I am going to predict that every time the number of lines increases by one the number of open regions will increase by two. For e.g. if there are two lines ...

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