## Mathematical Analysis## Sequences and Series |

## What is the range of a sequence? |

The range of a sequence is merely a set that defines the sequence. The range is usually represented by the set {*x*_{1}}, {*x*_{2}}, {*x*_{3}}, and so on; it is also written as {*x*_{n}; *n* = 1, 2, 3, …}. For example, in the question above, the data for each day that the scientist collects from his weather experiment is the range. Another example is the range of the sequence {(-1)^{n}}_{n} ≥ _{1}: It is the two-element set {-1, 1}.