Continuing my work from yesterday, here is the final bits of Space Splicing (in a neater format):
I can divide a sheet of paper into two regions with a single straight line. With two straight lines, I can divide a sheet of paper into two regions with a single straight line. With two straight lines, I can divide a sheet into 4 regions, and with three straight lines I can divide it into seven regions.
If n is some positive whole number, what is the maximum number of regions I can divide a sheet of paper into with n straight lines?
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