13.6 Sigma Notation

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

100

1

2

k

kIndex

Limits of the summation (upper limit)

Summand/Rule

Limits of the summation (lower limit)

Learning the Lingo

1002 2 2 2 2 2 2

1

1 2 3 98 99 100k

k

Terms of the series

Learning the Lingo

Problem Type One: Write the given series in expanded form.

3

2

1

2 ( )i

i

i

Problem Type Two: Express the given series using sigma notation.

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

Problem Type Two: Express the given series using sigma notation.

Problem Type Two: Express the given series using sigma notation.

26 + 37 + 50 + 65 + 82 + 101

102

5

1k

k

Problem Type Three: Evaluate

8

1

3 4k

k

76

Problem Type Three: Evaluate

10

1

235

m

m

19529202 9765625

Problem Type Three: Evaluate

1

1

1

2

n

n

2

ASSIGNMENT

Page 508 FIND SUM FOR 4 and 5 and # 7, 11, 17, 19, 21a, 25