Direct proof through an equilateral hyperbola to find the infinite Pythagorean triples and a direct proof to find the sum of all odd numbers through a telescopic series
DOI:
https://doi.org/10.31686/ijier.vol9.iss11.3543Abstract
In this article a prove new properties like a connection with Pythagorean triples and a hiperbolic equation. I prove a direct proof about a serie, a telescopic series about the even sum and odd sum. I had an article that use this properties but this results is mine. I discovered this theorem and prove in this article.
References
A. Hefez, Elements of Arithmetic, SBM, 2000.
E. R. Scheinerman, Discrete Mathematics: An Introduction, Cengage Learnig, 2016.
S. Singh, Fermat's Last Theorem, Fourth State. 2002.
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2021-11-01
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Copyright (c) 2021 Odirley Willians Miranda Saraiva
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How to Cite
Saraiva, O. W. M., Reis, C. P. dos, Beirão, A. T. M., Silva, K. P., Rocha, H. O. da, Lobato, F. da S., Soares, D. C. de B., Gonçalves, A. do S. da C., Cruz Galiza, A. B. da, & Gasparim, I. R. (2021). Direct proof through an equilateral hyperbola to find the infinite Pythagorean triples and a direct proof to find the sum of all odd numbers through a telescopic series. International Journal for Innovation Education and Research, 9(11), 511-514. https://doi.org/10.31686/ijier.vol9.iss11.3543
Received 2021-10-13
Accepted 2021-11-03
Published 2021-11-01
Accepted 2021-11-03
Published 2021-11-01
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