CBC-Chp-11-1-NTs - CalcBC Chp 11-1 Sequences Notes 1....

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CalcBC Chp 11-1 Sequences Notes 1. SEQUENCE An ordered list of numbers "Ordered" means the numbers are not randomly listed, instead they came from a formula/expression where consecutive positive integers were used to create a list TERMS The numbers in a sequence typically terms are denoted as a 1 , a 2 , a 3 , a 4 , … , a n where the subscripts indicate the place in the sequence a n Is the " nth term " It is the GENERAL TERM It is also referenced as the last term of a FINITE sequence , or the term approaching the faaaaaaaaarrrrrrrrrrrr end of an infinite sequence GENERAL TERM -- The formula/expression used to make a sequence (used to define the sequence) Ex-- a n = a n = a n = 3n + 1 * Where n can be 0 and positive integers only Ex(figure out the explicit general term) Given each sequence find the general term a n . (a) (b) 2. CONVERGE -- Sequence approaches a specific value (it does not go to infinity) Theorem: A sequence converges if = L , otherwise it diverges Ex(graphical look at a sequence)
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CBC-Chp-11-1-NTs - CalcBC Chp 11-1 Sequences Notes 1....

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