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Polygon: closed plane figure bounded by straight-line segments (sides) intersecting at points called vertices.
From The Concise Columbia Encyclopedia, Third Edition
Recursion: (noun) Mathematics. 1. An expression, such as a polynomial, each term of which is determined by application of a formula to preceding terms.
2. A formula that generates the successive terms of a recursion.
From the American Heritage Dictionary of the American Language.
1. Fine the formula for the angle sum of the next polygon after you add another triangle onto one side. S(3) = 180; S(n) = S(n-1) + 180. See the definition of recursion at the left.
Recursion idea needs to be discussed. S(3) = 180; S(n) = S(n-1) + 180. We could use this formula to generate the next polygon. The formula is recursive because it uses preceding terms to define itself.