CD Tesis
Formula Hubungan Barisan Fibonacci-Like Dan Lucas
Fibonacci sequence is defined by Fn = Fn−1 + Fn−2 for n ≥ 2 with F0 = 0 and F1 = 1. Lucas sequence is defined by Ln = Ln−1 + Ln−2 for n ≥ 2 with L0 = 2 and L1 = 1. While Fibonacci-Like sequence is a generalized of Fibonacci and Lucas sequence that defined by Sn = Sn−1 + Sn−2 for n ≥ 2 with S0 = 2 and S1 = 2. The Fibonacci-Like sequence forms the sequence numbers
2, 2, 4, 6, 10, 16, . . . This study to determine some identities of Fibonacci-Like sequence based on Lucas number then Fibonacci-Like is just defined by Lucas sequence. Before that, the identities of Fibonacci in Lucas sequence must be determined. Another identities of Fibonacci-Like can be determined based on the new identities of Fibonacci-Like and it can be proved by Binet’s formula.
Keywords: Binet’s Formula, Fibonacci numbers, Fibonacci-Like number, Lu- cas numbers
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