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Point O, A, B, C... are shown in figure ...

Point O, A, B, C... are shown in figure where `OA=2AB=4BC=....` so on Let A is the centroid of a triangle whose orthocentre and circumcenter are (2,4) and `(7/2,5/2)` 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(alpha,beta)` then find the value of `(alpha+beta)`

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