Limit superior and inferior of periodic sequence

Let $\{a_n\}_{n\ge 1}$ be a sequence of real numbers such that $a_{1+5m}=2, a_{2+5m}=3, a_{3+5m}=4, a_{4+5m}=5, a_{5+5m}=6, m=0, 1, 2, \dots$. Then $\limsup_{n\to\infty} a_n + \liminf_{n\to\infty} a_n$ equals __________