An arithmetic sequence is a series of numbers that go up or down by the same amount each time. In the song Ten Green Bottles Standing on the Wall, the sequence goes ten, nine, eight, seven ...

An example of a linear sequence. A list of numbers or diagrams that are in a particular order is called a sequence close sequenceA sequence is a set of numbers that follow a certain rule.

Algebraic geometry deals primarily with solutions lying in an algebraically closed field, while arithmetic geometry deals with the more subtle study of solutions lying in a number field or its rings ...