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What is an example of an arithmetic sequence?

1 Answer
Mar 8, 2018

Answer:

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