The Tribonacci sequence {Tn}n≥0 has been extensively studied where many interesting algebraic properties were documented. In this paper, we investigate some properties of the generalized Tribonacci sequence {Hn}n≥0 and obtain the sum ∑i=0kHk⁠. Subsequently, we study the extended family of {Hn}n≥0 namely {Hn′}n≥0 and found an interesting relationship between these two sequences which generalises a result by Natividad and Policarpio.

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