Q5Short answerExercise 1.2
A positive integer is of the form 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 m? Justify your answer.
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No. (3q + 1)2 = 9q 2 + 6q + 1 = 3 (3q2 + 2q) = 3m + 1.