#### Answer

$2,\frac{5}{2},\frac{10}{3},\frac{17}{4}$

#### Work Step by Step

$a_n = n + \frac{1}{n}$
To find the first four terms, we need to find $a_1, a_2, a_3$, and $a_4$.
$a_1 = 1 + \frac{1}{1} = 2$
$a_2 = 2 + \frac{1}{2} = \frac{5}{2}$
$a_3 = 3 + \frac{1}{3} = \frac{10}{3}$
$a_4 = 4 + \frac{1}{4} = \frac{17}{4}$