#### Answer

$a_{1}=x_{1}=-2;$
$a_{2}=x_{2}=-1;$
$a_{3}=x_{3}=0;$
$a_{4}=x_{4}=1;$
$a_{5}=x_{5}=2$
$\sum ^{5}_{i=1}x_{i}=0$

#### Work Step by Step

$a_{1}=x_{1}=-2;$
$a_{2}=x_{2}=-1;$
$a_{3}=x_{3}=0;$
$a_{4}=x_{4}=1;$
$a_{5}=x_{5}=2$
$\Rightarrow \sum ^{5}_{i=1}x_{i}=a_{1}+a_{2}+a_{3}+a_{4}+a_{5}=x_{1}+x_{2}+x_{3}+x_{4}+x_{5}=-2+\left( -1\right) +\left( 0\right) +\left( 1\right) +\left( 2\right) =0$