Question

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

Answer:

Thus the square of any positive integer be 3m , 3m + 1 , 3m + 2.