Coach tells the recruit “I will give you X as an athletic scholarship for the first year” and makes no mention of years 2, 3 and 4.
It’s pretty safe to assume that the offer only applies to the freshman year.
But, what about after the first year? Suppose that you play very well as a freshman. Do you ask the coach at the end of the year if there’s any athletic scholarship money for you as a sophomore? Or, do you say nothing and just hope that he approaches you and offers something?