Series and Summation Notation

Name
Date
Class
Practice A
LESSON
12-2 Series and Summation Notation
Use summation notation to write each series.
1. 2 4 8 16 32 64
a. Find a rule for the kth term.
b. Write the notation for the first 6 terms.
6
2
ak 2 k
k
k1
2. 6 5 4 3 2
5
3. 4 7 10 13 16 19
6
k1
4. 2 8 18 32
4
k1
5. 3 9 27 81 243
5
k 7 2k
2
3k 1 k1
3 k
k
k1
7. 1 4 9 16 25
5
6. 16 12 8 4 0 4 8
7
20 4k k1
Expand each series. Then evaluate.
2
k1
7
8.
2k
2
k3
18 32 50 72 98
270
a. Expand by replacing k.
b. Simplify.
4
9.
10
k
2
__
k1
a. Expand.
b. Simplify.
4
11.
5 2
k
10.
2 __
1
2 1 __
3 2
1
4__
6
k5
a. Expand.
3
25
12.
a. Expand.
20 40 80
b. Simplify.
140
3 20 k k21
a. Expand.
3 6 9 12 15
b. Simplify.
45
Solve.
13. Tracy deposits $16 into her savings account each week.
a. Write a series to represent how much she will
have deposited in n weeks.
b. Write a series to represent how much she will
have deposited in one year.
c. How much will she have deposited in one year?
Copyright © by Holt, Rinehart and Winston.
All rights reserved.
a207c12-2_pr.indd 11
2 1 0 1 2 3
b. Simplify.
k2
k 7 11
n
16
k1
52
16
k1
$832
Holt Algebra 2
12/29/05 6:32:24 PM
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Holt Algebra 2
12/29/05 6:27:12 PM