On fourteen solvable systems of difference equations

In this paper, we mainly consider the systems of difference equationsxn+1=1+pnqn,yn+1=1+rnsn,n∈N0,where each of the sequences pn,qn,rnpn,qn,rn and snsn represents either the sequence xnxn or the sequence ynyn, with nonzero real initial values x0x0 and y0y0. Then we solve fourteen out of sixteen possible systems. It is noteworthy to depict that the solutions are presented in terms of Fibonacci numbers for twelve systems of these fourteen systems.