3. Prove or disprove. For n> 1, use mathematical induction to establish each of the following divisibik statements: (a) 8|52n + 7. [Hint: 520k+1) + 7 = 5²(5²k + 7) + (7 – 52.7).] (b) 15|24n – 1. %3D F123n+1 on+1
3. Prove or disprove. For n> 1, use mathematical induction to establish each of the following divisibik statements: (a) 8|52n + 7. [Hint: 520k+1) + 7 = 5²(5²k + 7) + (7 – 52.7).] (b) 15|24n – 1. %3D F123n+1 on+1
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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Question
2.3 4b
![3. Prove or disprove.
For n> 1, use mathematical induction to establish each of the following divisibik
statements:
(a) 8|52n + 7.
[Hint: 520k+1) + 7 = 5²(5²k + 7) + (7 – 52.7).]
(b) 15|24n – 1.
%3D
F123n+1
on+1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fadf70025-15e9-4d93-968e-9d86049b61bd%2F225d0fdc-ce00-4e84-abd9-fa314f90d796%2F5k389gn.jpeg&w=3840&q=75)
Transcribed Image Text:3. Prove or disprove.
For n> 1, use mathematical induction to establish each of the following divisibik
statements:
(a) 8|52n + 7.
[Hint: 520k+1) + 7 = 5²(5²k + 7) + (7 – 52.7).]
(b) 15|24n – 1.
%3D
F123n+1
on+1
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