# Warm-up - PowerPoint PPT Presentation

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## Warm-up

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### Warm-up p 218 #3, 5, 7 and 9 Section 12-5: Sigma Notation and the nth Term In this section we will answer What notation can be used to indicate the summation of a ... – PowerPoint PPT presentation

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Title: Warm-up

1
Warm-up
• p 218 3, 5, 7 and 9

2
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?

3
• 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?

4
Sigma NotationA New Way to Write Sums
• The series 10 12 14 . 38 represents the
number of seats in the 15 row theater.

5
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.

6
Sigma Notation
For our series
This is read The sum of 2n 8 with n from 1
to 15.
7
Expanding Sigma Notation
8
Expanding Sigma Notation
9
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.

10
Okay, same series with alternating signs
11
Now alternate the other way
12
Try Another
13
Try Another
14
A New Kind of Series
We have learned about arithmetic and geometric
series, now meet the Factorial.
15
Find the Factorial
16
Find the Factorial
17
Find the Factorial
18
Try One
• Write the following series in sigma notation.

19
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?

20
Homework
• P 798 1 43, 47, 48
• Portfolio due Monday!!!
• Test on Wednesday! 12-1, 12-2, 12-3, 12-5, 12-6