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Evaluate: 00 n= 1 PP n

Evaluate: 00 n= 1 PP n

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter5: Similar Triangles
Section5.2: Similar Polygons
Problem 11E: a Does the similarity relationship have a reflexive property for triangles and polygons in general?...
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You are probably familiar with Tetrahedral or Triangular Pyramidal numbers. They are the total number of points we would get from stacking successively larger triangles. See the figure to the right. The points in each level are 1, 3, 6, 10, 15, ... in other words, the triangle numbers. Stacking them, then the Triangular Pyramidal numbers are 1, 4, 10, 20, 35, .... Pyramidal numbers can be made with any shape; for instance... pentagons! Pentagonal Pyramidal numbers are those you get from stacking successively larger pentagons. Pentagon or Pentagonal numbers are 1, 5, 12, 22, 35, ... which gives the first several Pentagonal Pyramidal numbers as 1, 6, 18, 40, 75, .... Designate the nth Pentagonal Pyramidal number as PP. For instance, PP = 18. 1 Evaluate: Σ ΣPP. n =
Transcribed Image Text:You are probably familiar with Tetrahedral or Triangular Pyramidal numbers. They are the total number of points we would get from stacking successively larger triangles. See the figure to the right. The points in each level are 1, 3, 6, 10, 15, ... in other words, the triangle numbers. Stacking them, then the Triangular Pyramidal numbers are 1, 4, 10, 20, 35, .... Pyramidal numbers can be made with any shape; for instance... pentagons! Pentagonal Pyramidal numbers are those you get from stacking successively larger pentagons. Pentagon or Pentagonal numbers are 1, 5, 12, 22, 35, ... which gives the first several Pentagonal Pyramidal numbers as 1, 6, 18, 40, 75, .... Designate the nth Pentagonal Pyramidal number as PP. For instance, PP = 18. 1 Evaluate: Σ ΣPP. n =
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