Knight

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Knights Charge Day 6 2/2/16

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Homework

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Live in the present to learn of the past
and be a part of the future.
-Jaleel Mott
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SEQUENCE
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Infinite Geometric Series

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r 2.... The terms in the sequence are getting
larger and larger.
 
Since the terms of the related sequence are
getting larger and larger, the sum of the terms
has no specific sum (we say the series DIVERGES).
Since the terms of the related sequence are
getting closer to 0, the sum of the terms is
approaching a specific number (we say the series
CONVERGES). What does the sum converge to?
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Converge or Diverge?

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Example Calculate the sum of the
sequence 2, 4, 8, 16,

• This is a geometric series with r2. Since rgt1,
  the series DIVERGES and therefore there is no sum.

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Example Calculate the sum of the
sequence 16, 8, 4, 2,

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Example Calculate the sum of the
sequence 16, -8, 4, -2,

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Multiply by 1-r
Distribute 1.25
Solve for r.
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Example

• A tennis ball dropped from a height of 30 feet
  bounces 40 of the height from which it fell on
  each bounce. What is the vertical distance it
  travels before coming to rest?

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Example

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Example

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BINGO

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Converges 8 12 Diverges
45 64
-1 405 -0.25 5000
2 156.25
-268.8 27 No Sum
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VICTORY LAP

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Find the sum of the infinite geometric series
described.
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Find the sum of the infinite geometric series.
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Find the sum of the infinite geometric series.
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Determine the common ratio of the infinite
geometric series.
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Determine the common ratio of the infinite
geometric series.
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Does the series converge or diverge?
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Does the series converge or diverge?
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Determine the common ratio of the infinite
geometric series.
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Homework

• 11-3 Practice worksheet
• 1-21 ODD
• Unit 1 Test on FRIDAY!