Abstract:
This article studies a generalized Fibonacci sequence called Fibonacci-like
sequence. The Fibonacci-like sequence is de ned by recurrence relation as
Tn = Tn1 + Tn2; n 2; T0 = p; T1 = p;
with p is a positive integer. Furthermore some of the identities of the Fibonacci-
like sequences associated with the Lucas sequence are discussed. To prove these
identities is used matrix methods.