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.© SolutionLibrary Inc. solutionlibary.com 9836dcf9d7 https://solutionlibrary.com/math/algebra/working-with-iteration-to-develop-a-forumla-288
...e the maximum number of regions into which n lines divide the plane. We already know that
Now let's analyze what happens when there are already n-1 lines on the ...