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Induction involving geometry (1 Viewer)

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Apr 11, 2011
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HSC
2012
Hey all,

I'm having a bit of trouble with the second step proving with this question:
Suppose you have n lines in a plane, arranged so that no three of the lines are concurrent and no two of the lines are parallel. Show that , for n greater than or equal to 1 , n such lines divide the plane into (n^2 + n +2)/2 regions.

Thx for helping
 

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