Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Vol 11 No 1 (2019): Jurnal Ilmiah Matematika dan Pendidikan Matematika

KARAKTERISTIK SEGITIGA LUCAS

Siti Rahmah Nurshiami (Universitas Jenderal Soedirman)
Ari Wardayani (Universitas Jenderal Soedirman)
Kana Hasmi Setiani (Universitas Jenderal Soedirman)



Article Info

Publish Date
18 May 2020

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 . Full Article

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Journal Info

Abbrev

jmp

Publisher

Subject

Mathematics

Description

JMP is a an open access journal which publishes research articles, reviews, case studies, guest edited thematic issues and short communications/letters in all areas of mathematics, applied mathematics, applied commutative algebra and algebraic geometry, mathematical biology, physics and engineering, ...