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Evaluate Pb qko and Ck(k = 0, 1, ... , 8) for the simple continued fractions below;

Elementary Number Theory | 7th Edition | ISBN: 9780073383149 | Authors: Professor David Burton ISBN: 9780073383149 413

Solution for problem 7 Chapter 15

Elementary Number Theory | 7th Edition

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Elementary Number Theory | 7th Edition | ISBN: 9780073383149 | Authors: Professor David Burton

Elementary Number Theory | 7th Edition

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Problem 7

Evaluate Pb qko and Ck(k = 0, 1, ... , 8) for the simple continued fractions below; noticethat the convergents provide an approximation to the irrational numbers in parentheses:(a) [1; 2, 2, 2, 2, 2, 2, 2, 2] ( J2).(b) [l; 1, 2, 1, 2, 1, 2, 1, 2] (J3).(c) [2; 4, 4, 4, 4, 4, 4, 4, 4] ( J5).(d) [2; 2, 4, 2, 4, 2, 4, 2, 4] (J6).(e) [2; 1, 1, 1, 4, 1, 1, 1, 4] (,Ji).

Step-by-Step Solution:
Step 1 of 3

Lecture Lab (1/11/16 ) Edward - FO 2.408 Review Integratinproblems D Partial f××Ijf#dx Fractions ' ¥e×IIaddxI- ( -2 xts . { f×IzdX xtskx ) )K 2) .=2hKes$sKt7b=-7=bn(E) x+I..hy*b b=# px-21 9=2 2) Ⱦ the ftp.#+zdxdisgrimgangntisnegatim complete square =suHi#ua = SETHI ,dx -35k¥ ,,d× L naiiktikihd 't again zln|(×tD2tH =tzh|k+D7HtC 2+1 ,¥Hu =

Step 2 of 3

Chapter 15, Problem 7 is Solved
Step 3 of 3

Textbook: Elementary Number Theory
Edition: 7
Author: Professor David Burton
ISBN: 9780073383149

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Evaluate Pb qko and Ck(k = 0, 1, ... , 8) for the simple continued fractions below;