Sequence

From Maths
Revision as of 17:13, 8 March 2015 by Alec (Talk | contribs)

Jump to: navigation, search

Introduction

A sequence is one of the earliest and easiest definitions encountered, but I will restate it.

I was taught to denote the sequence {a1,a2,...}

by {an}n=1
however I don't like this, as it looks like a set. I have seen the notation (an)n=1
and I must say I prefer it.

Definition

Formally a sequence is a function[1], f:NS

where S is some set. For a finite sequence it is simply f:{1,...,n}S

There is little more to say.

Convergence of a sequence

See also

References

  1. Jump up p46 - Introduction To Set Theory, third edition, Jech and Hrbacek