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# RedAssign9[1].2 - [page 1 of 2 Monotonic and Bounded...

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[page 1 of 2] www.thinkwell.com Copyright 2005, Thinkwell Corp. All Rights Reserved. Monotonic and Bounded Sequences A sequence is increasing if each term is larger than the previous one. A sequence is decreasing if each term is smaller than the previous one. A sequence is monotonic if the terms are nonincreasing ( a 1 a 2 ··· a n ···) or nondecreasing ( a 1 a 2 ··· a n ··· ). Increasing or decreasing sequences are strictly monotonic . A sequence is bounded from above if there is a value that the terms never exceed. A sequence is bounded from below if there is a value below which the terms never fall. A bounded sequence is bounded from above and below. If a sequence is monotonic and bounded, then it has a limit. If each successive term of a sequence is larger than the previous term, then the sequence is increasing . If each successive term of a sequence is smaller than the previous term, then the sequence is decreasing .

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RedAssign9[1].2 - [page 1 of 2 Monotonic and Bounded...

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