Applications of generalized pell pell lucas and modified pell sequences on matrices

This working is started giving some basic knowledges involved Fibonacci, Lucas, Jacobsthal, Jacobsthal Lucas, Pell, Pell Lucas and modified Pell number sequences. In the latter part as the formulas, identities and generating functions that special for this number sequences are investigated furthermore Pell, Pell Lucas and modified Pell number sequences dealings each other and partial sum formulas are touched on. Logged in the third part with k-Pell, k-Pell Lucas and modified k-Pell number sequences iteration relations on the way kϵN and tried to find generating functions, Catalan identities and D'ocagne identities of this number sequences. Then 2×2 matrices of this sequences, powers of that matrices and proofs of some theorems are investigated. Generalized k-Pell, k-Pell Lucas and modified k-Pell numbers are woked with in the fourth part. In this context Pell K, Pell Lucas L ve modified Pell M matrices and their properties are examined. The generating matrices for generalized k-Pell, k-Pell Lucas and modified k-Pell number sequences and practice with generating matrices finding terms of this number sequences are defined. Key Words: Pell, Pell Lucas, Modified Pell, k-Pell, k-Pell Lucas, Modified k-Pell