In this study, we consider firstly complex sequences and gaussian number sequences. Then we define complex k-Horadam and gaussian k-Horadam sequences. We give the distance between complex k-Horadam and gaussian k-Horadam numbers. We also show the generalized comlex k-Horadam and gaussian k-Horadam sequences. Then we have computed the limits of consecutive generalized comlex k-Horadam and gaussian k-Horadam sequences. We obtained the properties of complex k-Horadam and gaussian k-Horadam sequences
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