NotesFAQContact Us
Search Tips
Peer reviewed Peer reviewed
Direct linkDirect link
ERIC Number: EJ915336
Record Type: Journal
Publication Date: 2011-Mar
Pages: 5
Abstractor: As Provided
Reference Count: 2
ISSN: ISSN-0020-739X
Integral Representation of the Pictorial Proof of Sum of [superscript n][subscript k=1]k[superscript 2] = 1/6n(n+1)(2n+1)
Kobayashi, Yukio
International Journal of Mathematical Education in Science and Technology, v42 n2 p235-239 Mar 2011
The pictorial proof of the sum of [superscript n][subscript k=1] k[superscript 2] = 1/6n(n+1)(2n+1) is represented in the form of an integral. The integral representations are also applicable to the sum of [superscript n][subscript k-1] k[superscript m] (m greater than or equal to 3). These representations reveal that the sum of [superscript n][subscript k=1] k[superscript m] can be solved into a factor n(n+1) (proportional to the sum of [superscript n][subscript k=1] k, where m is a positive integer. (Contains 4 figures.)
Taylor & Francis, Ltd. 325 Chestnut Street Suite 800, Philadelphia, PA 19106. Tel: 800-354-1420; Fax: 215-625-2940; Web site:
Publication Type: Journal Articles; Reports - Descriptive
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A