Say whether the following is true or false and support your answer by a proof. (∃m∈N)(∃n∈N)(3m+5n=12)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1. Say whether the following is true or false and support your answer by a proof. (∃m∈N)(∃n∈N)(3m+5n=12)

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).

 

3. Say whether the following is true or false and support your answer by a proof: For any integer nn, the number n^2 + n + 1n2+n+1 is odd.

 

 

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