Knight

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Knights Charge Unit 1 Day 5Tuesday1/27/15

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Check Homework

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Check Homework

• 36) 140
• 37) 8
• 38) 16
• 41) 231 cans
• 42) NO, 100 because each of the first 100 even
  numbers is one more than each of the first odd
  numbers.
• 43) a- 31 b-496

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(No Transcript)
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Practice --- 30 minutes!
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Practice --- 30 minutes!
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Consider this

• A Chinese emperor of the Ming dynasty could not
  play chess. In return for lessons, the emperor
  promised his tutor any reward he wanted. Being a
  humble man, but needing to ask for something, he
  asked for only one grain of rice, doubled, for
  every square on the chess board. That is, one
  grain on the first square, two grains on the
  second square, four grains on the third square,
  etc.
• How many grains would be on the last square? (A
  chess board has 8 rows and 8 columns)
• How many total grains were there be?
• Why did the emperor have the tutor beheaded?

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Example Write an explicit formula for the
sequence 3, 6, 12, 24, 48, .

• Note this sequence is geometric with a common
  ratio (r) of 2.
• Make a table of values for the terms of the
  sequence. Then graph the table.

What do you notice about the graph?
Its EXPONENTIAL
Can you write the equation of the
function/sequence now?
 
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Example Write an explicit formula for the
sequence 3, 6, 12, 24, 48, .

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Example Fill in the chart for each geometric
sequence shown.
SEQUENCE IMPLICIT FORMULA EXPLICIT FORMULA 20th term



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Example 354,294 is the ______th term of the
sequence 2,6,18,..
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Example Construct a sequence that has THREE
geometric means between 6 and 384.

• 6, _____, _____, _____, 384,

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Sum of a Finite Geometric Series

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Example Find the sum of the first 9 terms of a
sequence whose first term is 1 and whose common
ratio is 3.
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Sigma Notation

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Example Find the rule for the kth term of each
sequence. Determine whether the sequence
converges or diverges. If it converges, find
what value it converges to.
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Victory Lap
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Homework

• p. 667-668 6-20, 25-27 ALL
• Have notebooks set up by tomorrow (with
  dividers)!
• Quiz Thursday!