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Given the sequence of numbers `x_1, x_2, x_3,...x_1005.` which satisfy `x_1/(x_1+1) = x_2/(x_2+3) = x_3/(x_3+5) = ...= x_1005/(x_1005 + 2009.)` Also, `x_1+x_2+...x_1005 = 2010.` Nature of the sequence is

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