In a sequence of $71$ nonzero real numbers, each number (apart from the fitrst one and the last one) is one less than the product of its two neighbors. Prove that the first and the last number are equal. (Josef Tkadlec)
Source: 2022 Czech and Slovak Olympiad III A p1
Tags: algebra
In a sequence of $71$ nonzero real numbers, each number (apart from the fitrst one and the last one) is one less than the product of its two neighbors. Prove that the first and the last number are equal. (Josef Tkadlec)