Respuesta :

Explanation

The question wants us to determine if the given sequence is an arithmetic sequence

We have the given sequence to be

[tex]12,14,16,18,20[/tex]

One of the unique characteristics of arithmetic sequence is that there is a common difference

A common difference is a difference between two consecutive terms of an arithmetic progression.

So, we have

the first term to be 12

the second term to be 14

The difference is

[tex]14-12=2[/tex]

Then we also test the second and third term

The third term is 16

the second term to be 14

The difference is

[tex]16-14=2[/tex]

Similarly, if we test for the fourth and fifth term

[tex]20-18=2[/tex]

We can see that 2 is the common difference

Thus

we can conclude that the sequence is an arithmetic sequence because it has a common difference of 2

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