13.6 sigma notation. objectives : 1. expand sequences from sigma notation 2. express using sigma...
TRANSCRIPT
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