Answer
$a_n=\dfrac{n}{n+1}$
Work Step by Step
Note that:
(1) The first term's numerator is equal to $n$, the term number; and
(2) The first term's denominator is equal to the term number plus 1, or $n+1$.
Thus, the $n^{th}$ term of the sequence is:
$a_n=\dfrac{n}{n+1}$