For each \( k \in N \), let \( C_{k} \) denote the circle whose equation is \( x^{2}+y^{2}=k^{2}... VIDEO
For each \( k \in N \), let \( C_{k} \) denote the circle whose equation is \( x^{2}+y^{2}=k^{2} \). On the circle \( C_{k} \), a particle moves \( k \) units in the anticlockwise direction. After completing its motion on \( \mathrm{C}_{\mathrm{k}} \), the particle moves to \( C_{k+1} \) 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 \( \mathrm{C}_{\mathrm{n}} \) then \( \mathrm{n} \) ishttps://bit.ly/YTAI_PWAP https://www.pw.live
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