A certain number of points are equally spaced around a circle. Each point is to be joined to every other point by a straight line. Determine how many straight lines are required if there are 2 points, then 3 points, then 4 points, then 5 points.
A certain number of points are equally spaced around a circle. Each point is to be joined to every other point by a straight line. Determine how many straight lines are required if there are 2 points, then 3 points, then 4 points, then 5 points.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A certain number of points are equally spaced around a circle. Each point is to be joined to every other point by a straight line. Determine how many straight lines are required if there are 2 points, then 3 points, then 4 points, then 5 points. Find a pattern, if possible, so that you can find how many straight lines are required if there are twelve points equally spaced around the circle. Write out a formula to represent the pattern if there are n points equally spaced around the circle.
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