The sequence we have is:
[tex]3,11,19,27,...[/tex]
To find the arithmetic sequence, we use the arithmetic sequence formula:
[tex]a_n=a_1+(n-1)(d)[/tex]
Where
[tex]a_n\longrightarrow\text{ nth term}[/tex]
Note: n can be any number
[tex]a_1\longrightarrow\text{ The first term}[/tex]
Since the first term, in this case, is 3:
[tex]a_1=3[/tex]
And d is the common difference between the terms.
As we can see in the following image, the common difference is +8:
[tex]d=8[/tex]
So the rule for the arithmetic sequence for a term "n" is:
[tex]a_n=3+(n-1)(8)[/tex]
Answer:
[tex]a_n=3+(n-1)(8)[/tex]
