If A₁, A₂, A,, , A, are n points in a plane whose coordinates are (x₁, y₁), (x₂₁ y ₂), (X₂₁ Y₂), (X,Y) respectively. A, A, is bisected in the point G₁; G, A, is divided at G, in the ratio 1:2; G, A, is divided at G, in the ratio 1:3; G, A, at G, in the 1:4 and so on until al the points are exhausted. Show that the coordinates of the final point so obtained are x₁ + x₂ +...+x, and y, + y₂ +...+y, 2

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