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All Journal Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Setiani, Kana Hasmi
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Mathematics

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KARAKTERISTIK SEGITIGA LUCAS Nurshiami, Siti Rahmah; Wardayani, Ari; Setiani, Kana Hasmi
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 11 No 1 (2019): JMP Edisi Juni 2019
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

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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 2,  the 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 .
Co-Authors Ari Wardayani, Ari Siti Rahmah Nurshiami, Siti Rahmah