Peer reviewed
Direct linkERIC Number: EJ985833
Record Type: Journal
Publication Date: 2012-Sep
Pages: 3
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0746-8342
EISSN: N/A
Why the Faulhaber Polynomials Are Sums of Even or Odd Powers of (n + 1/2)
Hersh, Reuben
College Mathematics Journal, v43 n4 p322-324 Sep 2012
By extending Faulhaber's polynomial to negative values of n, the sum of the p'th powers of the first n integers is seen to be an even or odd polynomial in (n + 1/2) and therefore expressible in terms of the sum of the first n integers.
Descriptors: Algebra, Mathematics Instruction, Mathematical Concepts, College Mathematics, 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: Journal Articles; Reports - Descriptive
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
