Answer:
[tex]a_n=8+4n[/tex]
Step-by-step explanation:
The nth term of an arithmetic sequence is given by the formula:
[tex]a_n=a+(n-1)d[/tex]
Where
a is the first term
d is the common difference
a is given as 12
To find d, we subtract any term from the term after it. So
d = 16 - 12 = 4
Now, the explicit formula for nth term is:
[tex]a_n=a+(n-1)d\\a_n=12+(n-1)4\\a_n=12+4n-4\\a_n=8+4n[/tex]
