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Given that A1,A2,A3, An are n points in...

Given that `A_1,A_2,A_3, A_n` are `n` points in a plane whose coordinates are `x_1,y_1),(x_2,y_2) ,(x_n ,y_n),` respectively. `A_1A_2` is bisected at the point `P_1,P_1A_3` is divided in the ratio `A :2` at `P_2,P_2A_4` is divided in the ratio 1:3 at `P_3,P_3A_5` is divided in the ratio `1:4` at `P_4` , and so on until all `n` points are exhausted. Find the final point so obtained.

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