Working with Iteration to Develop a Forumla

A single line divides a plane into two regions. Two lines (by crossing) can divide a plane into four regions, three lines can divide it into seven regions. Let psubn be the max number of regions into which n lines divide a plane where n is a positive integer.

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...e the maximum number of regions into which n lines divide the plane. We already know that
R(1)=2
R(2)=4
Now let's analyze what happens when there are already n-1 lines on the ...