Peer reviewed
Direct linkERIC Number: EJ1017613
Record Type: Journal
Publication Date: 2013-Sep
Pages: 1
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0746-8342
EISSN: N/A
Proof without Words: Squares Modulo 3
Nelsen, Roger B.
College Mathematics Journal, v44 n4 p283 Sep 2013
Using the fact that the sum of the first n odd numbers is n[superscript 2], we show visually that n[superscript 2] is the same as 0 (mod 3) when n is the same as 0 (mod 3), and n[superscript 2] is the same as 1 (mod 3) when n is the same as plus or minus 1 (mod 3).
Descriptors: College Mathematics, Mathematics Instruction, Mathematical Logic, Validity, Mathematical Concepts, Equations (Mathematics)
Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html
Publication Type: Reports - Descriptive; Journal Articles
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
