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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 26E
Related questions
Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff35f2761-f4db-45d4-99d3-34f929bdda06%2Fedb07b0b-ca75-484c-bdd4-d0d28d7d310f%2F04104x_processed.jpeg&w=3840&q=75)
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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