## Algebra 2 Common Core

Next three terms: 65, 62, and 59 Formula: $a_{1}$=80, $a_{n}$=$a_{n-1}-3$
First find the change that is consistent in the problem, by subtracting the second term with the first term, you get $-3$. You see this change with the third and second term, so on and so forth; $-3$ is a constant change. We know $a_{1}=80$, all we need now is a formula. The next term is 3 less than the previous term. Thus, the formula is: $a_{n}$=$a_{n-1}-3$ Therefore, the next three terms are: $68-3=65 \\65-3=62 \\62-3=59$