Question: hello tutors! please help me with this problem and all its parts so that I can read the handwriting. I appreciate your help! 2n (22)

hello tutors! please help me with this problem and all its parts so that I can read the handwriting. I appreciate your help!

2n (22) 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. a) I1 = [0, 1), 12 and subsequent intervals In have lengths equal to 50% of the length of their immediate left neighbors. b) I1 = [0, 1), I2 has length equal to , of the length of the first one. The length of 13 is obtained from 12 by removing 25% of 12. In general the length of In+1 is obtained from In by removing on of Inti

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