ERIC Number: EJ1017613
Record Type: Journal
Publication Date: 2013-Sep
Abstractor: As Provided
Reference Count: 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)
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Publication Type: Reports - Descriptive; Journal Articles
Education Level: Higher Education; Postsecondary Education
Authoring Institution: N/A