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Section 7.1 Sequences and Series Sequences Sequence- a function that has a set of natural numbers as its domain Sequence notation f(x) an an= f(n) where n is a natural number an is the “nth term” Types of Sequences Finite Sequence Domain is the set {1, 2, 3, . . . , n} Infinite Sequence Domain is all natural numbers Series Series- sum of the terms of a sequence Finite Series (Summation Notation) n a k k=1 a1 a 2 . . . an Summation Notation Ending term n Sigma a k a1 a 2 . . . an k=1 Formula to find kth term Starting term