Is this a geometric sequence?

Question

x + 1, 2x + 2, 5x + 1 .....

Answer 1

check if
(2x+2)/(x+1) = (5x+1)/(2x+2) for ALL values of x
that is, the equation should reduce to 0 = 0 to be a GS

(I know it works for x = 3)