Suppose that bı, b2, bs, is a sequence defined as bk-1+ bk-2 for each integer ... follows: b1 = 4, b2 = 12, bx = k > 3. Prove that bn is divisible by 4 for every integer n > 1. Be sure to use the definition of divisibility (not any theorems on divisibility).

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Question
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Suppose that b1, b2, bs, is a sequence defined as
follows: b1 = 4, b2 = 12, bx = bk-1+ bk-2 for each integer
k > 3. Prove that b, is divisible by 4 for every integer n > 1.
...
Be sure to use the definition of divisibility (not any theorems
on divisibility).
Transcribed Image Text:Suppose that b1, b2, bs, is a sequence defined as follows: b1 = 4, b2 = 12, bx = bk-1+ bk-2 for each integer k > 3. Prove that b, is divisible by 4 for every integer n > 1. ... Be sure to use the definition of divisibility (not any theorems on divisibility).
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