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Euclid's Division Lemma

USE EUCLID DI...

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USE EUCLID DIVISON LEMMA TO SHOW THAT THE SQUAREOF ANY POSITIVE INTEGER IS EITHER OF THE FORM 3m or 3m+1or 3m+2 FOR SOME INTEGER m.

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Q. Use Euclids division lemma to show that the square of any positive integer is either of the form

3 m

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Q. Question 4
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.]

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