What is an example of an arithmetic sequence?

Terry Briggs

Terry Briggs

Answered question

2022-09-09

What is an example of an arithmetic sequence?

Answer & Explanation

Sharon Dawson

Sharon Dawson

Beginner2022-09-10Added 20 answers

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

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