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The following sequence of dots represents the pentagonal numbers. What is the nth pentagonal number? Justify geometrically the recursive step. ° P₁ = 1 P₁₂ =5 ° ° P3 = 12

The following sequence of dots represents the pentagonal numbers. What is the nth pentagonal number? Justify geometrically the recursive step. ° P₁ = 1 P₁₂ =5 ° ° P3 = 12

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.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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Use two recursive approaches to solve this problem.

The following sequence of dots represents the pentagonal numbers. What is the nth pentagonal number? Justify geometrically the recursive step. ° P₁ = 1 P₁₂ =5 ° ° P3 = 12
Transcribed Image Text:The following sequence of dots represents the pentagonal numbers. What is the nth pentagonal number? Justify geometrically the recursive step. ° P₁ = 1 P₁₂ =5 ° ° P3 = 12
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