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Group A1) Consider the succession (an) defined by; an = 379an-1-378an-2, n22 and ao = 0 e a₁ = -377. a) Calculate an, n E N. b) Confirm that 377 is a divisor of any term a,, n € N. c) For each n € N. calculate the greatest common divisor(an, 29). wwwww d) Identify the values n € {1,2,...} for which the fraction is reducible. 13

Group A1) Consider the succession (an) defined by; an = 379an-1-378an-2, n22 and ao = 0 e a₁ = -377. a) Calculate an, n E N. b) Confirm that 377 is a divisor of any term a,, n € N. c) For each n € N. calculate the greatest common divisor(an, 29). wwwww d) Identify the values n € {1,2,...} for which the fraction is reducible. 13

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Group A1) Consider the succession (an) defined by = 379an-1-378an-2, n ≥ 2 and ao = 0 e a₁ = -377. a) Calculate an, ne N. b) Confirm that 377 is a divisor of any term an, ne N. www c) For each n € N. calculate the greatest common divisor(an, 29). www d) Identify the values/n = {1,2,...} for which the fraction an is reducible. 13
Transcribed Image Text:Group A1) Consider the succession (an) defined by = 379an-1-378an-2, n ≥ 2 and ao = 0 e a₁ = -377. a) Calculate an, ne N. b) Confirm that 377 is a divisor of any term an, ne N. www c) For each n € N. calculate the greatest common divisor(an, 29). www d) Identify the values/n = {1,2,...} for which the fraction an is reducible. 13
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