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
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
icon
Related questions
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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Recommended textbooks for you
Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
Geometry
ISBN:
9781337614085
Author:
Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:
Cengage,
Elementary Geometry for College Students
Elementary Geometry for College Students
Geometry
ISBN:
9781285195698
Author:
Daniel C. Alexander, Geralyn M. Koeberlein
Publisher:
Cengage Learning