Answer
$a_n=(2n+3)$; $n=1,2,3,4,...$
Work Step by Step
Since, we have $5,7,9,11,...$
This represents an arithmetic progression sequence with initial term $a_1=5$ and common difference, $d=2$
The n-the term can be represented as:
$a_n=a_1+(n-1)d$
or, $a_n=5+(n-1)2=(2n+3)$; $n=1,2,3,4,...$