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A Closer Look at Bobo’s Sequence

Daniel T. Clancy and Steven J. Kifowit
The College Mathematics Journal
Vol. 45, No. 3 (May 2014), pp. 199-206
DOI: 10.4169/college.math.j.45.3.199
Stable URL: http://www.jstor.org/stable/10.4169/college.math.j.45.3.199
Page Count: 8
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A Closer Look at Bobo’s Sequence
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Abstract

Summary Any sum of reciprocals of consecutive natural numbers must eventually exceed 1. The final term of such a sum is a function of the initial term. In a 1995 Classroom Capsule, E. Ray Bobo described some properties of that function and posed several questions regarding its possible values. We answer some of those questions, primarily using integral approximations from calculus.

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