4.7 Define & Use Sequences & Series. Vocabulary  A sequence is a function whose domain is a set of consecutive integers. If not specified, the domain.

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Presentation transcript:

4.7 Define & Use Sequences & Series

Vocabulary  A sequence is a function whose domain is a set of consecutive integers. If not specified, the domain starts w/ 1. The values in the range are the terms of the sequence. A finite sequence has a limited number of terms and an infinite sequence continues forever.

 When you add the terms of a sequence the result is a series. Summation notation, or sigma notation, is used to write a series. For example, in the series, i is the index of Summation, 1 is the lower limit of summation and 4 is the upper limit of summation.

Examples  Write the 1 st 6 terms of the sequence. a n = n - 2

 Describe the pattern, write the next term, and write a rule for the nth term of the sequence a. 3, 6, 9, 12,... b. 1/1, 1/3, 1/5, 1/7,...

 Write the series using summation notation. a b

 Find the sum of the series.

4.7 Homework Change  p , 2, 8, 10, 18, 19, 22