#### Answer

$a_{1}=7;$
$a_{2}=7;$
$a_{3}=9;$
$a_{4}=13;$
$a_{5}=19$

#### Work Step by Step

$a_{1}=\dfrac {1^{3}+27}{1+3}=7;$
$a_{2}=\dfrac {2^{3}+27}{2+3}=7;$
$a_{3}=\dfrac {3^{3}+27}{3+3}=9;$
$a_{4}=\dfrac {4^{3}+27}{4+3}=13;$
$a_{5}=\dfrac {5^{3}+27}{5+3}=19$