# If a number is multiplied by each term of an arithmetic sequence, is the resulting sequence still arithmetic of is it geometric?

##### 1 Answer

Jun 1, 2015

By definition, an arithmetic sequence is a sequence of numbers where each term after the first is found by adding to the previous one a fixed, non-zero number called the difference.

Example:

Let

We notice that **the new sequence is an arithmetic one**, with a new difference