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1. Say whether the following is true or false and support your answer by a proof. (3m N) (n = N) (3m + 5n = 12) Your answer needs to be a little bit longer. Write a few sentences to complete your assignment. 2. Say whether the following is true or false and support your answer by a proof. The sum of any five consecutive integers is divisible by 5 (without remainder). Your answer needs to be a little bit longer. Write a few sentences to complete your assignment. 3. Say whether the following is true or false and support your answer by a proof. For any integer n, the number n² +n +1 is odd. Your answer needs to be a little bit longer. Write a few sentences to complete your assignment.

1. Say whether the following is true or false and support your answer by a proof. (3m N) (n = N) (3m + 5n = 12) Your answer needs to be a little bit longer. Write a few sentences to complete your assignment. 2. Say whether the following is true or false and support your answer by a proof. The sum of any five consecutive integers is divisible by 5 (without remainder). Your answer needs to be a little bit longer. Write a few sentences to complete your assignment. 3. Say whether the following is true or false and support your answer by a proof. For any integer n, the number n² +n +1 is odd. Your answer needs to be a little bit longer. Write a few sentences to complete your assignment.

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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1. Say whether the following is true or false and support your answer by a proof. (Em N) (En N) (3m +5n = 12) Your answer needs to be a little bit longer. Write a few sentences to complete your assignment. 2. Say whether the following is true or false and support your answer by a proof. The sum of any five consecutive integers is divisible by 5 (without remainder). Your answer needs to be a little bit longer. Write a few sentences to complete your assignment. 3. Say whether the following is true or false and support your answer by a proof: For any integer n, the number n² +n +1 is odd. Your answer needs to be a little bit longer. Write a few sentences to complete your assignment.
Transcribed Image Text:1. Say whether the following is true or false and support your answer by a proof. (Em N) (En N) (3m +5n = 12) Your answer needs to be a little bit longer. Write a few sentences to complete your assignment. 2. Say whether the following is true or false and support your answer by a proof. The sum of any five consecutive integers is divisible by 5 (without remainder). Your answer needs to be a little bit longer. Write a few sentences to complete your assignment. 3. Say whether the following is true or false and support your answer by a proof: For any integer n, the number n² +n +1 is odd. Your answer needs to be a little bit longer. Write a few sentences to complete your assignment.
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