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Unformatted text preview: 1 ECON1003 Mathematics for the Social Sciences Topic 6: Sequences and Series Lecturer: Marlon Tracey 2 Objective o At the end of this topic, students should be able to: o Distinguish between a sequence and a series o Distinguish between arithmetic and geometric sequence or series. o Determine the nth term of a sequence. o Sum the terms in an arithmetic and geometric series. 3 Outline o Sequences o Arithmetic Sequence o Geometric Sequence o Series o Arithmetic Series o Geometric Series 4 Sequences I o Determine the pattern in the following sets of numbers: n 2, 4, 6, 8, … n 2, 6, 18, 54,… n 5, 1, 0.2, 0.04,… n 5 , 8 , 11 , 14 , 17, …, 23 n . 3 32 ,..., 3 4 , 3 2 , 3 1 , 6 1 Sequences II o A sequence is a collection or list of objects, events, or values (referred to as terms in mathematics) characterized by a certain ordering or pattern. o The first three examples of sequences are referred to as an infinite sequence , since the sequence continues to infinity. o The latter two sequences are examples of finite sequences , since the sequence continues up to a limit. 5 6 Sequences III o Mathematicians symbolizes a term in a sequence with the letter a , along with subscripts denoting the position of the term as follows: a 1 , a 2 , a 3...
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This note was uploaded on 03/16/2011 for the course ECON 1003 taught by Professor Dr.mcdonald during the Spring '11 term at University of the West Indies at Mona.
 Spring '11
 DR.MCDONALD

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