Points O,A,B,C,… are shown in figure where OA=2AB=4BC=… so on. Let A be the centroid of a triangle whose orthocentre and circumcentre are (2,4) and (72,52) respectively. If an insect starts moving from the point O(0,0) along the straight line in zig-zag fashion and terminates ultimately at point P(α,β), then the value of α+β is

Points O,A,B,C,… are shown in figure where OA=2AB=4BC=… so on. Let

1.	Points O,A,B,C,… are shown in figure where OA=2AB=4BC=… so on. Let A be the centroid of a triangle whose orthocentre and circumcentre are (2,4) and (72,52) respectively. If an insect starts moving from the point O(0,0) along the straight line in zig-zag fashion and terminates ultimately at point P(α,β), then the value of α+β is
Answer» Points $O, A, B, C, \dots$ are shown in figure where $O A = 2 A B = 4 B C = \dots$ so on. Let $A$ be the centroid of a triangle whose orthocentre and circumcentre are $(2, 4)$ and $(\frac{7}{2}, \frac{5}{2})$ respectively. If an insect starts moving from the point $O (0, 0)$ along the straight line in zig-zag fashion and terminates ultimately at point $P (α, β),$ then the value of $α + β$ is