Regions

Probability Level pending

How many maximum regions can be defined by 2016 lines.

(1 line defines 2 regions, 2 lines define 4, 3 lines define 7)

You might need a calculator :)


The answer is 2033137.

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1 solution

Brian Wang
Dec 5, 2015

The formula is
n 2 + n + 2 2 \frac { { n }^{ 2 }+n+2 }{ 2 } Plug in 2016, and you get the answer.

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