For a Z, define the set aZ ak k Z Prove that aZ is closed under the addition operation on Z (You can take for granted the usual arithmetic properties of Z )

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For a Z, define the set aZ    ak   k Z   Prove that aZ is closed under the addition operation on Z  (You can take for granted the usual arithmetic properties of Z )

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Question: For a Z, define the set aZ = {ak : k Z}. Prove that aZ is closed under the addition operation on Z. (You can

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