Open AccessKARAKTERISTIK SEGITIGA LUCAS
Author(s) -
Siti Rahmah Nurshiami,
Ari Wardayani,
Kana Hasmi Setiani
Publication year - 2020
Publication title -
jurnal ilmiah matematika dan pendidikan matematika (jmp)/jurnal ilmiah matematika dan pendidikan matematika
Language(s) - English
Resource type - Journals
eISSN - 2550-0422
pISSN - 2085-1456
DOI - 10.20884/1.jmp.2020.12.1.1933
Subject(s) - mathematics , column (typography) , combinatorics , lucas number , lucas sequence , isosceles triangle , fibonacci polynomials , geometry , fibonacci number , connection (principal bundle) , orthogonal polynomials , difference polynomials
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 .
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