Resposta :
Sejam - 40, __, __, __, __, __, __, __, __ e 5.
Temos que:
[tex]\begin{cases}a_1=-40\\a_n=5\\n=10\\r=\end{cases}[/tex]
Então,
[tex]a_n=a_1+(n-1)r\\\\5=-40+(10-1)r\\\\5+40=9r\\\\9r=45\\\\\boxed{r=5}[/tex]
Obtemos o segundo termo somando a razão ao primeiro termo, veja,
[tex]a_2=a_1+r\\\\a_2=-40+5\\\\\boxed{a_2=-35}[/tex]
E assim,...
[tex]a_3=a_2+r\\\\a_3=-35+5\\\\\boxed{a_3=-30}[/tex]
[tex]a_4=a_3+r\\\\a_4=-30+5\\\\\boxed{a_4=-25}[/tex]
[tex]...[/tex]
Logo,
[tex]\boxed{\boxed{\boxed{\left\{-40,-35,-30,-25,-20,-15,-10,-5,0,5\right\}}}}[/tex]
Temos que:
[tex]\begin{cases}a_1=-40\\a_n=5\\n=10\\r=\end{cases}[/tex]
Então,
[tex]a_n=a_1+(n-1)r\\\\5=-40+(10-1)r\\\\5+40=9r\\\\9r=45\\\\\boxed{r=5}[/tex]
Obtemos o segundo termo somando a razão ao primeiro termo, veja,
[tex]a_2=a_1+r\\\\a_2=-40+5\\\\\boxed{a_2=-35}[/tex]
E assim,...
[tex]a_3=a_2+r\\\\a_3=-35+5\\\\\boxed{a_3=-30}[/tex]
[tex]a_4=a_3+r\\\\a_4=-30+5\\\\\boxed{a_4=-25}[/tex]
[tex]...[/tex]
Logo,
[tex]\boxed{\boxed{\boxed{\left\{-40,-35,-30,-25,-20,-15,-10,-5,0,5\right\}}}}[/tex]