That Ubiquitous Sum: 1 + 2 + 3 + • • • + n
Stanley Bezuszka, Margaret Kenney
January 2005, Volume 98, Issue 5, Page 316
How the arithmetic series 1 + 2 + 3 + . . . + n is pervasive in mathematical contexts as a powerful problem-solving tool. Algebra students solve the problem with multiple approaches including geometric and creating general equations. Authors discuss the work of Cantor and Gauss in relation to the series.
Cross-Content (Math Only) Connections
Sequences / Series
Reasoning and Proof