Question: 1. Given k lines (k 0) on a plane such that no two lines are parallel and no three lines meet at the same

1. Given k lines (k 0) on a plane such that no

1. Given k lines (k 0) on a plane such that no two lines are parallel and no three lines meet at the same point, let P (k) be the number of regions into which the lines divide the plane (including the infinite ones, see Figure below). Find the recurrence relation P(k) in closed form. 7 2 3 6 *** 5

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