Answer
A sequence can be finite or infinite.
An infinite sequence $(a_{n})$ is a function whose domain is the set of positive integers.
A finite sequence is a function whose domain consists only of the first $n$ positive integers.
Work Step by Step
A sequence can be finite or infinite.
An infinite sequence $(a_{n})$ is a function whose domain is the set of positive integers.
For example: $N= (0, 1, 2, 3, 4. . .)$
$ S= (\frac{1}{2},\frac{1}{4}, \frac{1}{8}. . .)$
A finite sequence is a function whose domain consists only of the first $n$ positive integers.
For example: $(1, 3, 5, 7, 9)$
