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We define the first two Bobcat numbers as B1 = 2 and B2 = 1. The rest of the numbers are defined as B, = Bn-1+ B,-2. (a) Find the first 10 Bobcat numbers. (b) Find a non-Bobcat number. (c) With examples (give at least 3), illustrate this theorem: “For all n E Z, Bn- Bn-4 is divisible by 5."

We define the first two Bobcat numbers as B1 = 2 and B2 = 1. The rest of the numbers are defined as B, = Bn-1+ B,-2. (a) Find the first 10 Bobcat numbers. (b) Find a non-Bobcat number. (c) With examples (give at least 3), illustrate this theorem: “For all n E Z, Bn- Bn-4 is divisible by 5."

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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We define the first two Bobcat numbers as B1 = 2 and B2 = 1. The rest of the numbers are defined as Bn = Bn–1+ Bn-2. (a) Find the first 10 Bobcat numbers. (b) Find a non-Bobcat number. (c) With examples (give at least 3), illustrate this theorem: "For all n E Z, Bn-Bn-4 is divisible by 5."
Transcribed Image Text:We define the first two Bobcat numbers as B1 = 2 and B2 = 1. The rest of the numbers are defined as Bn = Bn–1+ Bn-2. (a) Find the first 10 Bobcat numbers. (b) Find a non-Bobcat number. (c) With examples (give at least 3), illustrate this theorem: "For all n E Z, Bn-Bn-4 is divisible by 5."
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