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The number of parts in which n number of lines can divide a plane into !

You see friends , my friend Aditya is a problem writer at JOMO .......... one of the questions this month was like -"What is the maximum number of regions in which 7 lines divide a plane into?" The way i got my answer was strange ..........please friends let me know was i correct or i just fumbled ...........

1 line can divide into maximum 2 parts 2 lines can divide into maximum 4 parts 3 lines can divide into maximum 7 parts 4 lines can divide into maximum 11 parts 5 lines can divide into maximum 16 parts . . . 7 lines can divide into 29 parts ...........

one can say I got it by intuition but is there a proper approach ?

Note by Apoorv Padghan
3 years, 2 months ago

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