# What sequence is created when the common difference is 0?

##### 1 Answer

Dec 21, 2015

#### Answer:

A constant sequence.

#### Explanation:

It is an arithmetic sequence and if the initial term is non-zero, then it is also a geometric sequence with common ratio

This is *almost* the only kind of sequence that can be both an arithmetic and geometric sequence.

What is the *almost*?

Consider integer arithmetic modulo