lines to regions

fortwrestler

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Joined
Jan 8, 2006
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4
I am having trouble with this problem:

Suppose lines are drawn in a circle to form as many regions of the circle as possible. Let R(n) be the numer of regions formed by n lines; R(1)=2, R(2)=4, R(3)=7 and R(4)=11. Find A formula for R(n). For what value of n is R(n)=37?


I understand that to get the number of regions you take the number of lines and add it to the regions of the former problem...like to get R(4)= 11 you would take 4+7 ((r(3)=7), does anyone know the formula?
 
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