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After travelling how much distance mathematician will fall into the pit?

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Consider a mathematician standing at a point 'P'. He travels 1 meter initially in forward direction and from there, 0 meter in backward direction. Then from that position he travels 2 meters in forward direction and 1 meter in backward direction. Again from the position resulting from previous steps he goes 3 meters in forward and then 2 meters in backward direction(Note carefully the pattern he follows). There is a pit 2018 meter from the starting point. After traveling how much distance(in meters) he will fall into the pit?

posted Jun 18, 2018 by anonymous

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