[tex]a_n=2n+\frac{1}{2n}\\\\a_1=2\cdot1+\frac{1}{2\cdot1}=2+\frac{1}{2}=2\frac{1}{2}\\\\a_2=2\cdot2+\frac{1}{2\cdot2}=4+\frac{1}{4}=4\frac{1}{4}\\\\a_3=2\cdot3+\frac{1}{2\cdot3}=6+\frac{1}{6}=6\frac{1}{6}\\\\a_4=2\cdot4+\frac{1}{2\cdot4}=8+\frac{1}{8}=8\frac{1}{8}\\\\a_5=2\cdot5+\frac{1}{2\cdot5}=10+\frac{1}{10}=10\frac{1}{10}[/tex]
