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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Solution

Dear student
No, since any positive integer can be written as 3q,3q+1,3q+2.
Therefore, square will be
9q² = 3m
9q² + 6q + 1 = 3(3q² + 2q) + 1 = 3m + 1
9q²+ 12q + 3 + 1 = 3m + 1
Regards

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Write whether the square of any positive integer can be of the form 3m+2, where 'm' is a natural number. Justify your answer.

Dear student No, since any positive integer can be written as 3q,3q+1,3q+2. Therefore, square will be 9q2 = 3m 9q2 + 6q + 1 = 3(3q2 + 2q) + 1 = 3m + 1 9q2 + 12q + 3 + 1 = 3m + 1 Regards

Dear student
No, since any positive integer can be written as 3q,3q+1,3q+2.
Therefore, square will be
9q² = 3m
9q² + 6q + 1 = 3(3q² + 2q) + 1 = 3m + 1
9q²+ 12q + 3 + 1 = 3m + 1
Regards