Question

Use Euclid’s Division Lemma to show that the square of any positive integer is either of

the form 3m or 3m + 1 for some integer m.

[Hint : Let x be any positive integer, then it is of the form 3q, 3q + 1 or 3q + 2. Now

square each of these and show that they can be rewritten in the form 3m or 3m + 1.]​

Answer 1

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Answer 2

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