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ERIC Number: EJ788445
Record Type: Journal
Publication Date: 2008-Mar
Pages: 6
Abstractor: Author
Reference Count: 0
ISSN: ISSN-0020-739X
The Sum of the Squares of the First "n" Natural Numbers: Two Different but Similar Approaches, and a Bonus
Grima, Pere; Marco, Lluis
International Journal of Mathematical Education in Science and Technology, v39 n2 p233-238 Mar 2008
This note presents two demonstrations of the known formula for the sum of squares of the first n natural numbers. One demonstration is based on geometrical considerations and the other one uses elementary integral calculus. Both demonstrations are very easy to understand, even for high school students, and may be good examples of how to explore ways to demonstrate a formula by induction. Finally, it is explained how to deduce the formula using a simple spreadsheet. (Contains 8 figures.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A