Answer
$1,1,1,3,5$
Work Step by Step
$a_{1}=1,\ \quad $
$a_{2}=1,$
$a_{3}=1,$
$.\qquad a_{n}=a_{n-1}+a_{n-2}+a_{n-3}$
$a_{4}=a_{3}+a_{2}+a_{1}=1+1+1=3$
$a_{5}=a_{4}+a_{3}+a_{2}=3+1+1=5$
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