## College Algebra (10th Edition)

$a_n=\dfrac{n}{n+1}$
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: $a_n=\dfrac{n}{n+1}$