## Quick Reference

A particular instance of a generalized statement. A counter-example will disprove a generalized claim, but examples do not provide proof. For example, the number of chords created by joining *n* distinct points in a circle is 1, 2, 4, 8, 16 for *n*=1, 2, 3, 4, 5 which are in the form 2^{n−1} but for *n*=6, there are 31 chords produced, so the general expression cannot be 2^{n−1}. In fact it requires a quartic expression.

*Subjects:*
Mathematics.