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