In the present article first and foremost we define generalized Fibonacci sequence and k-
Pell sequence. After that by using these sequences we delineate generalized Fibonacci …

For all non-negative integer n and real constants a, b, p and q, the generalized Fibonacci
sequence {U n} is defined by U n+ 2= pU n+ 1+ qU n with the initial values U 0= a and U 1 …

In this paper, we derived the summation< mml: mstyle displaystyle=" true">∑ i= 0 nf (i) U i
and< mml: mstyle displaystyle=" true">∑ i= 0∞ f (i) U i for certain functions f (i), where {U i} is …