Answer
$a_n=(-1)^{n+1}$
Work Step by Step
$a_1=1=(-1)^2=(-1)^{1+1}$
$a_2=-1=(-1)^3=(-1)^{1+2}$
$a_3=1=(-1)^4=(-1)^{1+3}$
$a_4=-1=(-1)^5=(-1)^{1+4}$
$a_5=1=(-1)^6=(-1)^{1+5}$
It is easy to conclude that: $a_n=(-1)^{n+1}$
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