So this sequence has a constant acceleration, which is the property of a parabola or quadratic equation of the form ax^2+bx+c=y. Using three data points to create a system of equations we can solve for the three variables.
The answer is A. And here's how you get it. You start by simplifying between the numerator and the denominator in the top fraction. Factor the top and the botttom so you have this: [7(x+3)/(x+3)(x+2)]/[(x+6)/(x+2)]. The (x+3)'s in the top fraction cancel each other out leaving you with [7/(x+2)]/[(x+6)/(x+2)]. When you divide fractions by fractions you change the sign and flip the fraction in the denominator so now you have this: [7/(x+2)]*[(x+2)/(x+6)]. The (x+2)'s cancel each other out then leaving you with 7/(x+6)
Think of this as a coordinate on a Cartesian plane. You have the origin, which is (0,0), and then you have this vector traveled, (35,12). The 35 should ideally be negative, however, when speaking in terms of distance, negatives are irrelevant. So now use the distance formula to find the distance between the two points. D = sqrt[ (x2-x1)^2 + (y2-y1)^2 ] D = sqrt[ 1225 + 144 ] D = sqrt[ 1369 ] D = 37m