MATH 1132Q Lecture 9: MATH 1132Q , Lecture 9 , Section 11.2 - Series
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Math 1132q , lecture 9 , section 11. 2: series. Series: the sum of the terms in a sequence. Example -- for {a n } n=1 to , the corresponding series is . The n th partial sum , denoted s n , is the sum of the first n terms: If lim (as n ) s n exists, then the series converges . Sequences and their corresponding series do not have the same behavior (( this is only a test for divergence! )) The divergence test -- if the lim (as n ) a n then the series a n diverges. Geometric series -- a series like ^n where we multiply each term by a fixed constant to get the next term by a fixed constant to get the next term. A geometric series is determined by its first term a and its ratio r . A geometric series with first term a and ratio r can be written as.
