[tex]a_{n} = \frac{n^{2}+1}{n}\\\\\\a_1 = \frac{1^{2}+1}{1} = 1+1 = 2\\\\a_2 = \frac{2^{2}+1}{2} = \frac{4+1}{2} = \frac{5}{2} = 2\frac{1}{2}\\\\a_3 = \frac{3^{2}+1}{3} = \frac{9+1}{3} = \frac{10}{3} = 3\frac{1}{3}\\\\a_{4} = \frac{4^{2}+1}{4} = \frac{16+1}{4} = \frac{17}{4} = 4\frac{1}{4}[/tex]
