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.

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.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.1: Sequences And Their Notations

Problem 70SE: Calculate the first eight terms of the sequences an=(n+2)!(n1)! and bn=n3+3n32n , and then make a...

See similar textbooks

Similar questions

Find the required term of each geometric sequence. 81,27,9,; 11th term
Calculate the first eight terms of the sequences an=(n+2)!(n1)! and bn=n3+3n32n , and then make a conjecture about the relationship between these two sequences.

Recommended textbooks for you

College Algebra

Algebra

ISBN:

9781938168383

Author:

Jay Abramson

Publisher:

OpenStax