# Question: prove by induction that the greatest number of regions that...

###### Question details

Prove by induction that the greatest number of regions that a circle can be divided into by n straight lines is 1/2(n^2+n+2) for all positive integers n

Prove by induction that the greatest number of regions that a circle can be divided into by n straight lines is 1/2(n^2+n+2) for all positive integers n