Answer
$a_{34}=208$
Work Step by Step
The n th term can be calculated as:
$a_n=a_1+d\times(n-1)$
Here: $a_n=208$ 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:
$d=a_2-a_1=16-10=6$.
By substituting we get:
$208=10+6\times(n-1)$
$n-1=\frac{208-10}{6}=33$
$n=34$
