| A function f from a set X to a set Y is a correspondence that associates with each element x1;x2;...of X a unique element f (x1;x2;...) of Y. Up to now the domain X has usually been an interval of real numbers. An infinite sequence is a function whose domain is the set of positive integers. The sum formula, f(x1;x2;...) that is an infinite sequence, can be solved by using "Regularity Theory". In this paper the range of an infinite sequence will be a set of real numbers. |