3. In the warm-up to Module 8 Part 1, we came up with the first several terms of the dragon curve sequence by folding strips of paper. To obtain the nth term of this sequence, tn, rewrite nas n = m. 2¹ (where m is an odd integer) then divide m by 4. if the remainder is 1, then t= 1 if the remainder is 3, then t = 0 More formally, if n = m. 2k (where m is an odd integer) then (1 if m = 1 mod 4 0 if m= 3 mod 4 (a) Verify the first four terms of the dragon curve sequence using the rule above. tn = see note) (b) Find the 100th, 101st, 102nd, and 103rd term of this sequence.

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