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Boa tarde Eloisa!
Solução!
![a1=(-6-x)\\\\\
a2=(x+4)\\\\\
a3=4x\\\\\\
Fazendo!\\\\\\
a2-a1=a3-a2\\\\\\
(x+2)-(-6-x)=(4x)-(x+2)\\\\\\
(x+2)+(6+x)=(4x)+(-x-2)\\\\\\
x+x+8=4x-x-2\\\\
2x+8=3x-2\\\\\
2x-3x=-2-8\\\\
-x=-10.(-1)\\\\
\boxed{x=10}](https://tex.z-dn.net/?f=a1%3D%28-6-x%29%5C%5C%5C%5C%5C%0Aa2%3D%28x%2B4%29%5C%5C%5C%5C%5C%0Aa3%3D4x%5C%5C%5C%5C%5C%5C%0AFazendo%21%5C%5C%5C%5C%5C%5C%0Aa2-a1%3Da3-a2%5C%5C%5C%5C%5C%5C%0A%28x%2B2%29-%28-6-x%29%3D%284x%29-%28x%2B2%29%5C%5C%5C%5C%5C%5C%0A%28x%2B2%29%2B%286%2Bx%29%3D%284x%29%2B%28-x-2%29%5C%5C%5C%5C%5C%5C%0Ax%2Bx%2B8%3D4x-x-2%5C%5C%5C%5C%0A2x%2B8%3D3x-2%5C%5C%5C%5C%5C%0A2x-3x%3D-2-8%5C%5C%5C%5C%0A-x%3D-10.%28-1%29%5C%5C%5C%5C%0A%5Cboxed%7Bx%3D10%7D "a1=(-6-x)\\\\\
a2=(x+4)\\\\\
a3=4x\\\\\\
Fazendo!\\\\\\
a2-a1=a3-a2\\\\\\
(x+2)-(-6-x)=(4x)-(x+2)\\\\\\
(x+2)+(6+x)=(4x)+(-x-2)\\\\\\
x+x+8=4x-x-2\\\\
2x+8=3x-2\\\\\
2x-3x=-2-8\\\\
-x=-10.(-1)\\\\
\boxed{x=10}")
Razão da P.A!
![a1=(-6-10)\\\\\ a2=(10+4)\\\\\ a3=4(10)\\\\\\
a1=-16\\\\\
a2=14\\\\\
a3=40\\\\\\
Raz\~ao=a2-a1\\\\\
Raz\~ao=14-(-16)\\\\\
Raz\~ao=14+16\\\\\
\boxed{Raz\~ao=30}](https://tex.z-dn.net/?f=a1%3D%28-6-10%29%5C%5C%5C%5C%5C+a2%3D%2810%2B4%29%5C%5C%5C%5C%5C+a3%3D4%2810%29%5C%5C%5C%5C%5C%5C%0Aa1%3D-16%5C%5C%5C%5C%5C%0Aa2%3D14%5C%5C%5C%5C%5C%0Aa3%3D40%5C%5C%5C%5C%5C%5C%0ARaz%5C%7Eao%3Da2-a1%5C%5C%5C%5C%5C%0ARaz%5C%7Eao%3D14-%28-16%29%5C%5C%5C%5C%5C%0ARaz%5C%7Eao%3D14%2B16%5C%5C%5C%5C%5C%0A%5Cboxed%7BRaz%5C%7Eao%3D30%7D%0A%0A%0A "a1=(-6-10)\\\\\ a2=(10+4)\\\\\ a3=4(10)\\\\\\
a1=-16\\\\\
a2=14\\\\\
a3=40\\\\\\
Raz\~ao=a2-a1\\\\\
Raz\~ao=14-(-16)\\\\\
Raz\~ao=14+16\\\\\
\boxed{Raz\~ao=30}")
Boa tarde!
Bons estudos!
Solução!
Razão da P.A!
Boa tarde!
Bons estudos!
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