M&m Sequences

Consider a sequence recursively formed as follows: Start with three real numbers, and then when k are known, let the (k +1)st be such that the mean of all k +1 equals the median of the first k. The authors conjecture that every such sequence eventually becomes stable. This article presents results r...

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Veröffentlicht in:	The College mathematics journal 2005-05, Vol.36 (3), p.191-198
Hauptverfasser:	Shultz, Harris S., Shiflett, Ray C.
Format:	Artikel
Sprache:	eng
Schlagworte:	College Mathematics Mathematical analysis Mathematical Concepts Mathematical constants Mathematical Formulas Mathematical problems Mathematical sequences Mathematical theorems Mathematics education Mathematics Instruction Numbers Real numbers Spreadsheets Statistical median Theorems
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	Consider a sequence recursively formed as follows: Start with three real numbers, and then when k are known, let the (k +1)st be such that the mean of all k +1 equals the median of the first k. The authors conjecture that every such sequence eventually becomes stable. This article presents results related to their conjecture.
ISSN:	0746-8342 1931-1346
DOI:	10.1080/07468342.2005.11922127