th term is the sequence .

An alternative to writing the domain of a sequence in the subscript is to indicate the range of values that the index can take by listing its highest and lowest legal values. For example, the notation denotes the ten-term sequence of squares . Using the symbol as an upper limit means that the indices continue infinitely. For example, the notations and both describe the sequence of odd integers .

A bi-infinite sequence is a sequence indexed by , the set of all integers,

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