So my little cousin has a math question trying to help him figure it out. I don't know if you can posts pics on here? so anyways.... the Q is " A circle can be divided by n lines into a maximum of 1/2(n^2+n) + 1 regions. Use the expression to find the max number of regions for 7 lines. The picture it shows with the problem says that 3 lines= 7 Regions. So I plugged in 3 to the equation it gave me and it equaled 7. So then I tried plugging 7 into the equation and it gave me 29. So would the answer be 29?

Question

So my little cousin has a math question trying to help him figure it out. I don't know if you can posts pics on here? so anyways.... the Q is " A circle can be divided by n lines into a maximum of 1/2(n^2+n) + 1  regions. Use the expression to find the max number of regions for 7 lines. The picture it shows with the problem says that 3 lines= 7 Regions.  So I plugged in 3 to the equation it gave me and it equaled 7. So then I tried plugging 7 into the equation and it gave me 29. So would the answer be 29?

whpalmer4 · Answer

well, if that's the formula, and the formula is correct, it does yield 29 with an input of 7...

anonymous · Answer

yeah I had 1/2(7^2+7)+1

whpalmer4 · Answer

this article agrees with the formula: http://mathworld.wolfram.com/CircleDivisionbyLines.html