exam - Last Name (print): First Name (print): Signature: ID...

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Unformatted text preview: Last Name (print): First Name (print): Signature: ID Number: Section (circle): 1 2 3 4 5 6 7 8 MATH 135, Algebra for Honours Mathematics Faculty of Mathematics, University of Waterloo Final Examination, Fall Term 2009 Date: Friday, December 18th Time: 12:30 3:00 pm Section Time Instructor 1 10:30-11:20 C. Hewitt 2 12:30-1:20 E. Teske 3 9:30-10:20 S. Furino 4 10:30-11:20 E. Teske 5 11:30-12:20 S. New 6 1:30-2:20 Y.-R. Liu 7 2:30-3:20 R. Moosa 8 12:30-1:20 J. Koeller 9 8:30-9:20 J. Koeller Pages: This test contains 9 pages, including this cover sheet and a page at the end for rough work. Instructions: Write your name, signature and ID number, and circle your section, at the top of this page. Answer all questions, and provide full explanations . If you need more space to show your work, then use the back of the previous page. Question Mark 1 /10 2 /10 3 /10 4 /10 5 /10 6 /10 7 / 10 Total /70 [6] 1: (a) Let a = 1 and a 1 = 3, and for n 2 let a n = 3 a n- 1- 2 a n- 2- 1. Show that a...
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exam - Last Name (print): First Name (print): Signature: ID...

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