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MF98: What exactly is a sequence?

The term `sequence' is so familiar from daily life that it is easy to dismiss the need for a precise mathematical definition. In this lecture we start by looking at finite sequences, of a particularly pleasant kind, namely sequences of natural numbers. The distinction between the specification of such a sequence and a description of it is emphasized. We must also maintain some respect for sequences that get large---ultimately they can have qualitatively quite different properties. We also mention N. Sloane's On-line Encyclopedia of Integer Sequences, a valuable resource for mathematically minded people.
Length: 26:33


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