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For each natural number k, let Ck denote...

For each natural number k, let `C_k` denotes the circle radius k centimeters in the counter-clockwise direction.After completing its motion on `C_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 the positive direction of the x-axis for first time on the circle `C_n`,then n equal to

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`C_1=>r=1;k=1`
`C_2=>r=2;k=2`
`C_3=>r=3;a=3`
`theta_1+theta_2+theta_3+...+theta_n=2pi`
`1/1+2/2+3/3+...+n/n=2pi`
`1+1+1+..+1=2pi`
`n=2pi`
`n=6.28`
...
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