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9-1 SequencesObjective: Determine whether a sequence
converges or diverges and use properties of monotonic sequences and bounded sequences.
Ms. BattagliaAP Calculus
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a) The terms of the sequence {an} = {3 + (-1)n} are
b) The terms of the sequence {bn} = are
Listing the Terms of a Sequence
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c) The terms of the sequence {cn} = are
d) The terms of the recursively defined sequence {dn}, where d1 = 25 and dn+1 = dn - 5
Listing the Terms of a Sequence
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Find the limit of the sequence whose nth term is
Finding the Limit of a Sequence
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a) {an} = {3 + (-1)n} b) {bn} =
Determining Converges or Divergence
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Show that the sequence whose nth term is
convergence.
Using L’Hôpital’s Rule to Determine Convergence
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Show that the sequence converges, and find its limit.
Using the Squeeze Theorem
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Find a sequence {an} whose first five terms are
Finding the nth term of a Sequence
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Determine an nth term for a sequence whose first five terms are
Finding the nth Term of a Sequence
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Determine whether each sequence having the given nth term is monotonic.
a) b) c)
Determining Whether a Sequence is Monotonic
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a. {an} = {1/n} b. {bn} = {n2/(n+1)} c. {cn}={(-1)n}
Bounded and Monotonic Sequences
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Day 1: Read 9.1 Page 604 #45-51 odd, 85-95 odd
Day 2: Page 604 #55-67 odd, 88-99 even, 119-124
Classwork/Homework