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Formula for the th -Generalized Fibonacci-like Number
In this paper we provided a formula for the th term of the -generalized
Fibonacci-like sequence, a generalization of the well-known Fibonacci sequence,
having arbitrary initial terms, where the succeeding terms are obtained by
adding its previous terms. The formula for the th term of the
-generalized Fibonacci-like sequence was obtained by observing patterns in
the derived formula for the nth term of the Fibonacci-like, Tribonacci-like,
and Tetrabonacci-like sequence. The formula for the -generalized Fibonacci
sequence was also derived and was used in the process of proving the main
result of this paper