Prove simple induction [duplicate]

Suppose we we have n straight lines on the plane such that no two of them are parallel and no three of them go through the same point. Prove that the number of different regions that are created by these lines (regions that are bounded between line segments and/or those that are unbounded) is exactly $\frac{n(n + 1)}{2} + 1$ for all n ≥ 1.