On pythagorean triples of the form (i, i + l, k) |
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Authors: | Koundinya Vajjha |
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Abstract: | A Pythagorean triple is a triad of positive integers (x, y, z) which satisfy the Pythagoras’ equation x 2 + y 2 = z 2. In this article, we shall consider triples of the form (i, i + 1, k), and the recurrence relations governing them. In the process, we also solve completely the equation i 2+ (i + 1)2 = k 2. |
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