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4. Does 3 divide (3k + 1)(3k + 2)(3k + 3)?

4. Does 3 divide (3k + 1)(3k + 2)(3k + 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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and the notation a/b denotes EXERCISE SET 4.4 Give a reason for your answer in each of 1-13. Assume that all variables represent integers. 1. Is 52 divisible by 13? 2. Does 7|56? 3. Does 5|0? 4. Does 3 divide (3k + 1)(3k + 2)(3k+3)? 5. Is 6m(2m + 10) divisible by 4? 6. Is 29 a multiple of 3? 7. Is-3 a factor of 66? 8. Is 6a(a + b) a multiple of 3a? 9. Is 4 a factor of 2a∙34b? 10. Does 7|34? 11. Does 13|73? 12. If n = 4k+1, does 8 divide n² - 1? 13. If n = 4k+ 3, does 8 divide n²-1? H Copyright 2020 Cengage Learning. All Rights Reserved. May not be copied, sca
Transcribed Image Text:and the notation a/b denotes EXERCISE SET 4.4 Give a reason for your answer in each of 1-13. Assume that all variables represent integers. 1. Is 52 divisible by 13? 2. Does 7|56? 3. Does 5|0? 4. Does 3 divide (3k + 1)(3k + 2)(3k+3)? 5. Is 6m(2m + 10) divisible by 4? 6. Is 29 a multiple of 3? 7. Is-3 a factor of 66? 8. Is 6a(a + b) a multiple of 3a? 9. Is 4 a factor of 2a∙34b? 10. Does 7|34? 11. Does 13|73? 12. If n = 4k+1, does 8 divide n² - 1? 13. If n = 4k+ 3, does 8 divide n²-1? H Copyright 2020 Cengage Learning. All Rights Reserved. May not be copied, sca
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