2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/157352Through the following, we establish the conditions which allow us to express recursive sequences of real numbers, enumerated through the recurrence relation a_{n+1} = Aa_n + Ba_{n-1}, by means of algebraic equations in two variables of degree n 2 N. Then we apply main results to the relations that express Fibonacci numbers, domino tillings of the graph W_4 x P_{n-1} and Pythagorean triples.7 pagesNumber Theory65Q05 (Recurence relations, Difference equations); 11B99 (Fibonacci numbers)text