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Use the definition of divisibility to justify your answers to the following questions. a. Is 42 divisible by 14? b. Does 7 | 56? c. For every integer k, does 3 divide (3k + 1) (3k + 2) (3k + 3)? d. Is-5 a factor 45? e. Is 6a (a + b) a multiple of 3a?

Use the definition of divisibility to justify your answers to the following questions. a. Is 42 divisible by 14? b. Does 7 | 56? c. For every integer k, does 3 divide (3k + 1) (3k + 2) (3k + 3)? d. Is-5 a factor 45? e. Is 6a (a + b) a multiple of 3a?

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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Question 3 Use the definition of divisibility to justify your answers to the following questions. a. Is 42 divisible by 14? b. Does 7 | 56? c. For every integer k, does 3 divide (3k + 1) (3k + 2) (3k + 3)? d. Is -5 a factor 45? e. Is 6a (a + b) a multiple of 3a?
Transcribed Image Text:Question 3 Use the definition of divisibility to justify your answers to the following questions. a. Is 42 divisible by 14? b. Does 7 | 56? c. For every integer k, does 3 divide (3k + 1) (3k + 2) (3k + 3)? d. Is -5 a factor 45? e. Is 6a (a + b) a multiple of 3a?
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