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

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.4: Multiple-angle Formulas
Problem 1E
Question

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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