13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma...
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Transcript of 13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma...
![Page 1: 13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma Notation 3. Evaluate sums using Sigma Notation Vocabulary.](https://reader035.fdocuments.net/reader035/viewer/2022062720/56649f155503460f94c2b05c/html5/thumbnails/1.jpg)
13.6 Sigma Notation
![Page 2: 13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma Notation 3. Evaluate sums using Sigma Notation Vocabulary.](https://reader035.fdocuments.net/reader035/viewer/2022062720/56649f155503460f94c2b05c/html5/thumbnails/2.jpg)
Objectives:1. Expand sequences from Sigma
Notation2. Express using Sigma Notation3. Evaluate sums using Sigma
Notation
Vocabulary:Sigma Notation, Index, Limit
13.6 Sigma Notation
![Page 3: 13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma Notation 3. Evaluate sums using Sigma Notation Vocabulary.](https://reader035.fdocuments.net/reader035/viewer/2022062720/56649f155503460f94c2b05c/html5/thumbnails/3.jpg)
100
1
2
k
kIndex
Limits of the summation (upper limit)
Summand/Rule
Limits of the summation (lower limit)
Learning the Lingo
![Page 4: 13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma Notation 3. Evaluate sums using Sigma Notation Vocabulary.](https://reader035.fdocuments.net/reader035/viewer/2022062720/56649f155503460f94c2b05c/html5/thumbnails/4.jpg)
1002 2 2 2 2 2 2
1
1 2 3 98 99 100k
k
Terms of the series
Learning the Lingo
![Page 5: 13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma Notation 3. Evaluate sums using Sigma Notation Vocabulary.](https://reader035.fdocuments.net/reader035/viewer/2022062720/56649f155503460f94c2b05c/html5/thumbnails/5.jpg)
Problem Type One: Write the given series in expanded form.
3
2
1
2 ( )i
i
i
![Page 6: 13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma Notation 3. Evaluate sums using Sigma Notation Vocabulary.](https://reader035.fdocuments.net/reader035/viewer/2022062720/56649f155503460f94c2b05c/html5/thumbnails/6.jpg)
Problem Type Two: Express the given series using sigma notation.
![Page 7: 13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma Notation 3. Evaluate sums using Sigma Notation Vocabulary.](https://reader035.fdocuments.net/reader035/viewer/2022062720/56649f155503460f94c2b05c/html5/thumbnails/7.jpg)
Problem Type Two: Express the given series using sigma notation.
16 + 8 + … + 1
n 15
n
5
1
n
n1
1 1 116 32
2 2 2
![Page 8: 13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma Notation 3. Evaluate sums using Sigma Notation Vocabulary.](https://reader035.fdocuments.net/reader035/viewer/2022062720/56649f155503460f94c2b05c/html5/thumbnails/8.jpg)
Problem Type Two: Express the given series using sigma notation.
![Page 9: 13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma Notation 3. Evaluate sums using Sigma Notation Vocabulary.](https://reader035.fdocuments.net/reader035/viewer/2022062720/56649f155503460f94c2b05c/html5/thumbnails/9.jpg)
Problem Type Two: Express the given series using sigma notation.
26 + 37 + 50 + 65 + 82 + 101
102
5
1k
k
![Page 10: 13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma Notation 3. Evaluate sums using Sigma Notation Vocabulary.](https://reader035.fdocuments.net/reader035/viewer/2022062720/56649f155503460f94c2b05c/html5/thumbnails/10.jpg)
Problem Type Three: Evaluate
8
1
3 4k
k
76
![Page 11: 13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma Notation 3. Evaluate sums using Sigma Notation Vocabulary.](https://reader035.fdocuments.net/reader035/viewer/2022062720/56649f155503460f94c2b05c/html5/thumbnails/11.jpg)
Problem Type Three: Evaluate
10
1
235
m
m
19529202 9765625
![Page 12: 13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma Notation 3. Evaluate sums using Sigma Notation Vocabulary.](https://reader035.fdocuments.net/reader035/viewer/2022062720/56649f155503460f94c2b05c/html5/thumbnails/12.jpg)
Problem Type Three: Evaluate
1
1
1
2
n
n
2
![Page 13: 13.6 Sigma Notation. Objectives : 1. Expand sequences from Sigma Notation 2. Express using Sigma Notation 3. Evaluate sums using Sigma Notation Vocabulary.](https://reader035.fdocuments.net/reader035/viewer/2022062720/56649f155503460f94c2b05c/html5/thumbnails/13.jpg)
ASSIGNMENT
Page 508 FIND SUM FOR 4 and 5 and # 7, 11, 17, 19, 21a, 25