MTH 240 Chapter 11: SequencesandSeries
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15 Mar 2016
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A sequence, an, is a sequence of numbers that share a common pattern from one term to the sequence to the next term. This is a sequence where the next term is just one more than the previous term. Sometimes you are asked to come up with the general sequence given the numbers in that sequence. You have to practice these a lot to get the hang of it. Taking the limit of a sequence as n . -if the limit is a finite number, then the sequence converges to that number. -if the limit is infinity, then the sequence diverges. A sequence is said to be monotonic if the terms in the sequence are constantly getting larger or constantly getting smaller. 1 n increases, is a n sequence the montonic. a n decreases. na n as. By placing a summation sign in front of a sequence, you form a series.
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