# Talk:Sequence

From Citizendium, the Citizens' Compendium

## 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 , 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:

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

--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)
- Done. Thank you. --Catherine Woodgold 10:15, 29 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)