Figure shows a relationship between the number of points on a circle and the number of reg...

Figure shows a relationship between the number of points on a circle and the number of regions created when the points are connected by line segments.

Figure 1.38

a. Determine the next iteration and draw a sketch of the figure.

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b. Based on this pattern, how many regions will six fully connected points produce? Mow would you justify your answer? Is your answer based on inductive or deductive reasoning?