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HELP PLEASE 15PTS + BRAINLIEST

Copy and complete the following table it shows the total number of segments that can be drawn among x points, no three of which are collinear

Number of points, x: 2, 3, __, __.
Number of segments, y: 1, 3, __, __.

Find the blanks

Respuesta :

Answer:


Number of points, x, Number of segments, y

x: 2, 3, 4, 5, ... N,. ...

y: 1, 3, 6, 10, ... (N-1)(N)/2, ...


Step-by-step explanation:

Adding Nth point, there are N-1 new segments,

and (sum over {i = 1 to N-1} of i) total segments. As Gauss knew when he was c.10 yo, the sum is (N-1)(N)/2.

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