Answer
$\left\{\begin{array}{l}
a_{1}=11\\
a_{n}=a_{n-1}+11
\end{array}\right.$
Work Step by Step
Note the common difference between consecutive terms ($d=11$).
This is an arithmetic sequence, for which we have
$a_{n}=a_{n-1}+d,$
In this case, $a_{n}=a_{n-1}+11.$
For a recursive rule, we give the information about the first term,
and a rule on how to obtain the next term from the preceding:
$\left\{\begin{array}{l}
a_{1}=11\\
a_{n}=a_{n-1}+11
\end{array}\right.$
