Warm-up

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Warm-up

• p 218 3, 5, 7 and 9

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Section 12-5Sigma Notation and the nth Term

• In this section we will answer
• What notation can be used to indicate the
  summation of a series?
• How can I expand sigma notation?
• How can I build sigma notation from terms?

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• An auditorium has 10 seats in the 1st row. Each
  row has 2 more seats than the one in front of it.
• Set up the sequence.
• What type of sequence is this?
• How many seats in the 10th row?
• How many seats in the nth row?
• How many seats in the theater if there 15 rows
  total?

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Sigma NotationA New Way to Write Sums

• The series 10 12 14 . 38 represents the
  number of seats in the 15 row theater.

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Sigma NotationA New Way to Write Sums

• The series 10 12 14 . 38 represents the
  number of seats in the 15 row theater.
• In mathematics, the Greek letter sigma is often
  used to indicate a sum or series.

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Sigma Notation
For our series
This is read The sum of 2n 8 with n from 1
to 15.
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Expanding Sigma Notation
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Expanding Sigma Notation
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Expressing a Series Using Sigma Notation

• Find d.
• Find n.
• Find an.
  
• This will give you the expression for sigma
  notation.
• 4. Write in sigma notation.

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Okay, same series with alternating signs
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Now alternate the other way
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Try Another
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Try Another
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A New Kind of Series
We have learned about arithmetic and geometric
series, now meet the Factorial.
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Find the Factorial
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Find the Factorial
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Find the Factorial
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Try One

• Write the following series in sigma notation.

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Lets Recap

• Can we answer these now?
• What notation can be used to indicate the
  summation of a series?
• How can I expand sigma notation?
• How can I build sigma notation from terms?

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Homework

• P 798 1 43, 47, 48
• Portfolio due Monday!!!
• Test on Wednesday! 12-1, 12-2, 12-3, 12-5, 12-6