SOLUTION: ron was doodling in his notebook and noticed the following: 3 segments can be drawn between 3 points, 6 segments can be drawn between 4 points, and 10 segments can be drawn between

Algebra.Com
Question 256439: ron was doodling in his notebook and noticed the following: 3 segments can be drawn between 3 points, 6 segments can be drawn between 4 points, and 10 segments can be drawn between 5 points.
a. find an equation giving the number of segments "y" as a function of the number of points "x".
b. according o this formula howmany segments can be drawn between 70 points.
c. how many points are needed to draw 45 segments between them.

Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
Here the pattern is 1,3,6,10, . . .
The formula is

where x is the number of points
--
If x = 70, then
= 2485 segments
--


x = 9, x+1 = 10.
We need 9 points for 45 segments

RELATED QUESTIONS

Please help me How many distinct segments can be drawn between: 6 points. Without... (answered by stanbon)
write an algebraic expression that represents how many segments can be drawn between n... (answered by stanbon,scott8148)
How many line segments can be drawn between 12 noncollinear... (answered by Edwin McCravy)
Consider a circle with two points, A and B. You can for exactly 1 segment. If there are... (answered by josgarithmetic)
10 points are given on a plane. how many line segments can be drawn using them? (answered by greenestamps)
can a triangle be formed by three segments of lengths of 2 inches, 3 inches, and 6... (answered by Alan3354)
Could you please help me solve this homework problem? There are three segments that... (answered by amoresroy)
Points X, Y and Z lie on the sides of triangle ABC so that segments AX, BY and CZ, if... (answered by stanbon)
Write an algebraic model to find the number of possible segments drawn using "n" points... (answered by stanbon)