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For each natural number k ,let …

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For each natural number k ,let C(k) denote the circle with radius k centimetres in the counter-clockwise direction. After completing its motion on C(k), the particle moves on C(k+1) in the radial direction. The motion of the particle continues in this manner. The particle starts at (1,0). If the particle crosses the positive direction of the x-axis for the first time on the circle C(n), then find the value of n.
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