AN INTERMEDIATE VALUE THEOREM FOR SEQUENCES WITH TERMS IN A FINITE SET
We prove an intermediate value theorem of an arithmetical flavor involving the consecutive averages of sequences with terms in a givenfiniteset Foreverysuchsetwecompletely characterize the numbers Õ¼/span> with the property that the consecutive averages of every sequence with terms in cannot increase from a value to a value without taking the value for some s with
sequences, averages, intermediate values, time series.