Step-by-step explanation:
Each term is 2 more than the previous term, and the first term is 12, so the recursive formula is:
[tex]a_{n}=a_{n-1}+2, a_{1}=12[/tex]
This is an arithmetic sequence, so the explicit formula is:
[tex]a_{n}=12+2(n-1)\\a_{n}=10+2n[/tex]
The next three terms are 20, 22, 24.
