## Algebra 2 Common Core

$\{34,51,68,...\}$ is an arithmetic sequence with common difference $d=17$
In the given sequence, $\{ 34,51,68,... \},$ the differences of a term and its previous term are \begin{align*}\require{cancel} a_2-a_1&= 51-34 \\&= 17 ,\\\\ a_3-a_2&= 68-51 \\&= 17 .\end{align*} Since the differences of a term and its previous term are the same, then $\{34,51,68,...\}$ is an arithmetic sequence with common difference $d=17 .$