State if the following is closed under addition. If it is closed, prove and explain why. If it is not closed provide a counterexample. {3, 6, 9, 12, ...}

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section: Chapter Questions
Problem 60RE
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State if the following is closed under addition. If it is closed, prove and explain why. If it is not closed provide a counterexample.

{3, 6, 9, 12, ...}

Expert Solution
Step 1

Given that,

The set of numbers is following,

{3,6,9,12,  ..........}

We have to find that the set is closed under addition or not.

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