On the periodicity of the sequence x(n+1) = max{A(0)/x(n), A(1)/x(n-1),..., A(k)/x(n-k)}

We give a complete characterization of the behaviour of the sequence cited in the title with negative coefficients, i.e. we settle Conjecture 2.3.2 an d Problem 2.3.1, and give a partial answer for Problem 2.3.2 of Ladas (J. D ifference Equ. and Appl. 2 (1996) 339-341). We also give a similar argument for an already known result for the case wh en all the coefficients have the same fixed positive value.