What is the definition of an infinite sequence?

1 Answer
May 20, 2015

Informally, and (real-valued) infinite sequence is just an infinite list of real numbers x_{1},x_{2},x_{3},x_{4},\ldots.

More precisely, an infinite sequence is a function whose domain can be taken (among other things) to be the set of positive integers NN=\{\1,2,3,4,\ldots\} and whose codomain is the set of real numbers RR. The output of the sequence at the input n\in NN is x_{n}\in RR.