Obtaining some results through exchanges in rekurent relationships and studying their applications in solving issues

As you know, in the field of mathematics, the question of the transition between expressions to a general aspect, based on the links, is defined by several substitutions. In this article, some types of rekurent relations and their application in the field of communication will be studied, and at the same time, methods of solving the issues proposed in many prestigious Olympiads will be presented.