8. Show that for all integers n, n² – 3n is even. Give a full proof supporting each statement you use and use full sentences in your answer. Note: Using statements like 'a sum of two even integers is even' without supporting algebra is not considered a full proof.

8. Show that for all integers n, n² – 3n is even. Give a full proof supporting each statement you use and use full sentences in your answer. Note: Using statements like 'a sum of two even integers is even' without supporting algebra is not considered a full proof.

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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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Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.

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8.
Show that for all integers n, n² – 3n is even.
Give a full proof supporting each statement you use and use full sentences in your answer.
Note: Using statements like 'a sum of two even integers is even' without supporting algebra
is not considered a full proof.
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