Q4Short answerExercise 1.2
Write whether the square of any positive integer can be of the form 3m + 2, where m is a natural number. Justify your answer.
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No. Since any positive integer can be written as 3q, 3q+1, 3q+2, therefore, square will be 9q2 = 3m, 9q2 + 6q + 1 = 3 (3q 2 + 2q) + 1 = 3m + 1, 9q2 + 12q + 3 + 1 = 3m + 1.