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What is a sequence?
A list of numbers
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How do you denote a sequence that has n terms?
{an} or {an} n=1infinity
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What are the next 5 terms in the sequence of an=2n?
{2,4,6,8,10}
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What makes a sequence different than a different function?
Only integers are used for n.
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What theorem should you use when your sequence alternates signs?
- If lim as n-->infinity |an|=0,
- then lim as n-->infinity an=0
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If a sequence that is raised to a power of one is a fraction that is less than one, what happens?
Heads towards 0.
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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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