Talk:Sequence

Article Checklist for "Sequence"

Workgroup category or categories	Mathematics Workgroup [Categories OK]
Article status	Developing article: beyond a stub, but incomplete
Underlinked article?	Yes
Basic cleanup done?	Yes
Checklist last edited by	--AlekStos 02:57, 10 March 2007 (CST)

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defined on the natural numbers

I would like to change this:

"Formally, given any set X, an infinite sequence is a function (f, say) defined on a subset of natural numbers with values in X. "

to this:

"Formally, given any set X, an infinite sequence is a function (f, say) defined on the natural numbers $\{1,2,3,...\}$, with values in X. "

(I'm not sure whether to include zero in the natural numbers.) --Catherine Woodgold 08:12, 28 April 2007 (CDT)

Done. --Catherine Woodgold 10:14, 29 April 2007 (CDT)

Simple example?

This is given as a "simple example" of a sequence of complex numbers:

$1+i,2-5i,5-2i$

How about a simpler example, where it's easy to predict the next term? e.g.

$1+i,2+3i,3+5i$

--Catherine Woodgold 08:20, 28 April 2007 (CDT)

I wouldn't object any proposed changes, the formal definition above included (well I thought a while about this definition and I think there would be no harm if the term "subset" gets deleted). As for 0 in naturals, nothing is "globally" decided, so probably both solutions are possible (I'd start with 1).--AlekStos 11:55, 28 April 2007 (CDT)