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
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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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?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5e4228f-9210-4db3-b17d-340ce6e8a9a2%2F749a45f1-634c-4d66-8ac6-3ee109093877%2Fdg3ppc_processed.png&w=3840&q=75)
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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