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A positive integer is the form of 3q+1 q...

A positive integer is the form of 3q+1 q, being a natural number. Can you write its square in any form other than 3m+1 i.e. 3m or 3m+2 for some integer? Justify your answer.

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The correct Answer is:
No, `(3q+1)^(2)=9q^(2)+6q+1=3(3q^(2)+2q)+1=3m+1`
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