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Evaluate: 00 n= 1 PP n

Evaluate: 00 n= 1 PP n

Advanced Engineering Mathematics
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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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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