b. Let an be a sequence that satisfies a recurrence relation an-an-1 +5 for n=1, 2, 3, ... and suppose ao 2. What are ai, az, ... as?

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 52E: Given the recursively defined sequence a1=1,a2=3,a3=9, and an=an13an2+9an3, use complete induction...
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b.
C.
Let an be a sequence that satisfies a recurrence relation an-an-1 +5 for n=1, 2, 3, ... and
suppose ao 2. What are a₁, az, ... as?
Proof that 12+2²+...+n²= [n(n+1(2n+11/6 for all positive integers n?
Transcribed Image Text:b. C. Let an be a sequence that satisfies a recurrence relation an-an-1 +5 for n=1, 2, 3, ... and suppose ao 2. What are a₁, az, ... as? Proof that 12+2²+...+n²= [n(n+1(2n+11/6 for all positive integers n?
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