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4. Use Euclid's division lemma to show that the square of any positive integer is either ofthe form 3m or 3m +1 for some integer m.[Hint:Letx be any positive integer then it is of the form 34, 34 +1 or 3q+2. Now squareeach of these and show that they can be rewritten in the form 3m or 3m +1.] |
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