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SequencesA sequence is essentially just a list.Def i nition (Sequence of Real Numbers)A sequence of real numbers is a function Z ∩ (n,∞) → R for somereal number n.Don’t let the description of the domain confuse you; it’s just afancy way of saying the domain consists of a set of consecutiveintegers starting with some integer but never ending.In most cases, the domain will be either the set of positive integersor the set of non-negative integers.Try to recognize that the entire def i nition is just a fancy, butprecise, way of saying a sequence is a list of numbers.We can have sequences of objects other than real numbers, but inthis course we will restrict ourselves to sequences of real numbersand will from now on just refer to sequences.Alan H. SteinUniversity of Connecticut Sequences and Series