The answer depends on whether the n points are on a line and you are interested in linear segments or whether they are on the circumference of a circle and you are interested in the number of segments that the circle is partitioned into. Or, of course, any other shape.
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Join the points using a smooth curve. If you have n points choose a polynomial of degree at most (n-1). You will always be able to find polynomials of degree n or higher that will fit but disregard them. The roots are the points at which the graph intersects the x-axis.
n = 1, 3 or 9.
If the number is n, then twice the number is 2n and the sum of the two is n + 2n = 3n.
n-n
N - 5*N = 4*N N - 5*N = 4*N N - 5*N = 4*N N - 5*N = 4*N