by James Tanton
This article originally appeared in:
College Mathematics Journal
March, 2008
Subject classification(s):
Calculus | Single Variable Calculus | SeriesApplicable Course(s):
3.2 Mainstream Calculus II | 3.5 Non-mainstream Calc IIThe result is illustrated for ratio 1/9, via an approach that is readily generalized. In particular, the result \( \frac{1}{n} + \frac{1}{n^2} + \frac{1}{n^3} + \cdots = \frac{1}{n-1} \) is illustrated for \( n = 9 \), and the remark is made that a similar construction shows the result for any integer \(n \), \(n \geq 2 \).
A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.
To open this file please click here.
Capsule Course Topic(s):
Sequences and Series | Special Series: Geometric Series