Question

obtenha x para que a sequencia (2x-2,3x-1,2x+6)seja uma p.a.

Answer 1

$a1=2x-2\\a2=3x-1\\a2-a1=r\\(2x-2)-(3x-1)=r\\r=2x-2-3x+1\\r=-x-1\\\\an=a1+(n-1).r\\3x-1=2x-2+(3-1).(-x-1)\\3x-1=2x-2+-2x-2\\3x-1=-4\\3x=-3\\\\\boxed{x=-1}$