A cricket is at the origin (0,0) and jumps on the coordinate plane 1 inch east, 1/2 inch north, 1/4 inch west, 1/8 inch

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answerhappygod
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A cricket is at the origin (0,0) and jumps on the coordinate plane 1 inch east, 1/2 inch north, 1/4 inch west, 1/8 inch

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A cricket is at the origin (0,0) and jumps on the coordinate plane 1 inch east, 1/2 inch north, 1/4 inch west, 1/8 inch south, 1/16 inch to the east, and so on. Assuming that the cricket does this ad infinitum, find the point (x,y) where it would end up.
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