Question

What is an example of an arithmetic sequence?

Answer 1

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,...` is another arithmetic sequence with difference `-3`

Hope this help