We place line segments side by side on the real line starting at the origin and moving in the positive direction. determine if there is a number n on the real line that will not be covered by the any of the segments. if such a number does not exist argue why. if numbers n exist then find among them the least one. explain how you did this. i_1 = [0,1), i_2 subsequent intervals i_n have lengths equal to 50\% of the length of their immediate left neighbors. i_1 = [0,1), i_2 has length equal to 1/2 of the length of the first one. the length of i_3 is obtained from i_2 by removing 25% i_2. in general the length of i_n+1 is obtained from i_n by removing 1/2^n of i_n+1.