Page 1 of 1
4. Suppose there are n lines in the plane, no two are parallel and no three are intersecting at one point. Into how many
Posted: Wed Jul 06, 2022 11:45 am
by answerhappygod
- 4 Suppose There Are N Lines In The Plane No Two Are Parallel And No Three Are Intersecting At One Point Into How Many 1 (56.07 KiB) Viewed 18 times
4. Suppose there are n lines in the plane, no two are parallel and no three are intersecting at one point. Into how many regions is the plane divided by these lines? Let f(n) denote the number of regions the plane is divided into by n lines. Do the following. (a) Compute the values for f(n) for n = 1,2,3,4,5. (b) Give a conjecture on the formula of f(n). (c) Justify the conjecture using induction.