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 ]
[ 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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Answer:
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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Answer:
the scalar quantity characteristic of a point in a magnetic field whose negative gradient equals the intensity or strength of the magnetic field and which represents the work required to bring a unit north pole from a point infinitely remote up to the point in question.
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