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14. Prove that 32n +7 is divisible by 8. 15. Prove that 7"-2" is divisible by 5. 16. Prove that n³ - n is divisible by 3.

14. Prove that 32n +7 is divisible by 8. 15. Prove that 7"-2" is divisible by 5. 16. Prove that n³ - n is divisible by 3.

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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14. Prove that \(3^{2n} + 7\) is divisible by 8. 15. Prove that \(7^n - 2^n\) is divisible by 5. 16. Prove that \(n^3 - n\) is divisible by 3.
Transcribed Image Text:14. Prove that \(3^{2n} + 7\) is divisible by 8. 15. Prove that \(7^n - 2^n\) is divisible by 5. 16. Prove that \(n^3 - n\) is divisible by 3.
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