Calculus II: Section 8.1 Sequences

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Author:
BlakeDietz
ID:
15455
Filename:
Calculus II: Section 8.1 Sequences
Updated:
2010-04-20 23:08:45
Tags:
Calculus II
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Description:
Taken from math tutor dvd advanced calc II video 16
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  1. What is a sequence?
    A list of numbers
  2. How do you denote a sequence that has n terms?
    {an} or {an} n=1infinity
  3. What are the next 5 terms in the sequence of an=2n?
    {2,4,6,8,10}
  4. What makes a sequence different than a different function?
    Only integers are used for n.
  5. What theorem should you use when your sequence alternates signs?
    • If lim as n-->infinity |an|=0,
    • then lim as n-->infinity an=0
  6. If a sequence that is raised to a power of one is a fraction that is less than one, what happens?
    Heads towards 0.
  7. If a sequence that is raised to a power of one is a fraction that is greater than one, what happens?

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