KARAKTERISTIK SEGITIGA LUCAS

  • Siti Rahmah Nurshiami Universitas Jenderal Soedirman
  • Ari Wardayani Universitas Jenderal Soedirman
  • Kana Hasmi Setiani Universitas Jenderal Soedirman

Abstract

Lucas triangle is an array of coeficients of a polynomial forming a pattern which is similar to Pascal triangle. This research studies Lucas triangle and its properties. The research results show that every row in Lucas triangle is begun by the number 1 and is ended by the number 2the sum of the first n terms of number of 1th column is equal to the number at th row, 2nd column. Besides, the number at nth row and  th column of Lucas triangle is  for , the sum of the first n terms of number of jth column is equal to the number at th row,  column for . The number of Lucas triangle is the sum of two number terms in preceded row, that is the number at  th row,  and the number at th row, . Then, the sum of coefficients of each  row of Lucas triangle is .


Full Article

Published
2020-05-18
How to Cite
NURSHIAMI, Siti Rahmah; WARDAYANI, Ari; SETIANI, Kana Hasmi. KARAKTERISTIK SEGITIGA LUCAS. JURNAL ILMIAH MATEMATIKA DAN PENDIDIKAN MATEMATIKA, [S.l.], v. 11, n. 1, p. 11-20, may 2020. ISSN 2550-0422. Available at: <http://jos.unsoed.ac.id/index.php/jmp/article/view/1933>. Date accessed: 07 july 2020. doi: https://doi.org/10.20884/1.jmp.2020.12.1.1933.