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Let Ar ,r=1,2,3, , be the points on th...

Let `A_r ,r=1,2,3, ` , be the points on the number line such that `O A_1,O A_2,O A_3dot` are in `G P ,` where `O` is the origin, and the common ratio of the `G P` be a positive proper fraction. Let `M ,` be the middle point of the line segment `A_r A_(r+1.)` Then the value of `sum_(r=1)^ooO M_r` is equal to

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