Does the geometric sequence converge or diverge? Explain. 320, -40, 5, -0.625, ... The sequence diverges because r = -8, which is less than one. The sequence diverges because |r | = 8, which is greater than one. The sequence converges because |r | = 0.125, which is less than one. The sequence converges because r = 0.125, which is less than one.