ERIC Number: EJ875497
Record Type: Journal
Publication Date: 2006
Abstractor: As Provided
Reference Count: 0
Building Buildings with Triangular Numbers
Pagni, David L.
AMATYC Review, v27 n2 p56-65 Spr 2006
Triangular numbers are used to unravel a new sequence of natural numbers here-to-fore not appearing on the Encyclopedia of Integer Sequences website. Insight is provided on the construction of the sequence using "buildings" as a viewable model of the sequence entries. A step-by-step analysis of the sequence pattern reveals a method for generating the function. Graphing calculator programs are provided for generating the sequence both recursively and explicitly for different initial "building" sizes. Finally, an explicit formula for the sequence that makes use of the "ceiling" function generalizes the results.
Descriptors: Numbers, Graphing Calculators, Mathematics Instruction, College Mathematics, Community Colleges, Mathematical Concepts, Mathematical Formulas, Educational Technology, Computer Uses in Education
American Mathematical Association of Two-Year Colleges. 5983 Macon Cove, Memphis, TN 38134. Tel: 901-333-4643; Fax: 901-333-4651; e-mail: firstname.lastname@example.org; Web site: http://www.amatyc.org
Publication Type: Journal Articles; Reports - Evaluative
Education Level: Postsecondary Education; Two Year Colleges
Authoring Institution: N/A