Answer
$a_n=2+(-1)^n$
Work Step by Step
$a_1=1=2-1=2+(-1)^1$
$a_2=3=2+1=2+(-1)^2$
$a_3=1=2-1=2+(-1)^3$
$a_4=3=2+1=2+(-1)^4$
$a_5=1=2-1=2+(-1)^5$
We can conclude that $a_n=2+(-1)^n$
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