# What is an example of an arithmetic sequence?

Mar 8, 2018

The even numbers, the odd numbers, etc

#### Explanation:

An arithmetic sequence is builded up adding a constant number (called difference) following this method

${a}_{1}$ is the first element of a arithmetic sequence, ${a}_{2}$ will be by definition ${a}_{2} = {a}_{1} + d$, ${a}_{3} = {a}_{2} + d$, and so on

Example1:

2,4,6,8,10,12,....is an arithmetic sequence because there is a constant difference between two consecutive elements (in this case 2)

Example 2:

3,13,23,33,43,53,.... is an arithmetic sequence because there is a constant difference between two consecutive elements (in this case 10)

Example 3:

$1 , - 2 , - 5 , - 8 , \ldots$ is another arithmetic sequence with difference $- 3$

Hope this help