What is a basis for the vector space V which consists of all sequences g(n) = a_n in F that have only a finite number of nonzero terms a_n. (Def: A sequence in F is a function g from the positive integers into F). I don't know, I can "see" euclidean, polynomial, and matrix bases in my head, but not function and sequence bases. Please explain so that I can learn. Thanks in advanced.