#### Answer

$n=46$

#### Work Step by Step

The n th term can be calculated as:
$a_n=a_1+d\times(n-1)$
Here: $a_n=-27$ and we have to find $n$.
In an arithmetic sequence, first we have to find the common difference, which can be calculated as the difference of any two subsequent terms:
$d=a_2-a_1=\frac{7}{3}-3=-\frac{2}{3}$.
By substituting we get:
$-27=3+(-\frac{2}{3})\times(n-1)$
$n-1=\frac{-27-3}{-\frac{2}{3}}=45$
$n=46$