Grades 8-12 
Mathematics 
Algebra II 
Standard 22

Students find the general term and the sums
of arithmetic series and both finite and
infinite geometric series.

 

Resources
Lesson Plans
Assessments

Algebra 2  
An Integrated Approach,  Larson/Kanold/Stiff, 1995,  
D.C. Heath and Company 

Section References 

12.1 Sequences and Series 

12.2 Arithmetic Sequences  
and Series 

12.3 Geometric Sequences  
and Series 

12.4 Infinite Geometic Series 

12.5 The Binomial Theorem 

Class Specific Web Site 

http://www.algebra- 
online.com 

CA Exit Exam Web Site 

http:/www.chspe.com/ 
download.html 

Specific Textbook   
Web Sites    

http://www.glencoe.com/  
sec/math/prealg/mathnet/    

http://www.eduplace.com/  
links/    

http://www.eduplace.com/    

http://www.hmco.com/  
college/mathematics/  
index.html    

http://www.mcdougallittell  
.com/    

http://www.hmco.com/    

http://www.SRA-4KIDS.com/    

General Math   
Reference Sites    

http://www.learner.org/  
sami/view-category.php3  
?category=math    

http://www.score.k12.ca.us/    

http://henson.austin.apple  
.com/edres/curric.shtml    

http://school.discovery.com/  
schrockguide/index.html    

http://www.EDsOasis.org/    

http://www.math.com/    

http://www.nea.org/grants/  
free.html    

http://www.wcom.com/  
marcopolo/    

http://www.udel.edu/sine/    

http://dewey.chs.chico.k12  
.ca.us/math.html    

Free Stuff    

http://www.nea.org/  
grants/free.html    

State/National Math   
Ed Organizations    

http://www.nctm.org/    

http://www.cde.ca.gov/    

Calif. Dept. of Ed. Standards, Assessment, Ed. Reference.    

Calculator Reference Site    

http://www.ti.com/  
calc/docs/calchome.html  



Previously Published Data 

1.) An Arithmetic Sequence (AS) is one in which the difference between any two consecutive terms is the same. A Geometric Sequence (GS) is one in which each term after the first is the product of the preceding term and the common ratio. Give four examples comparing arithmetic and geometric sequences beginning with the same term and continuing each sequence for five terms. (E.G., AS: 2, 4, 6, 8, 10 with a difference of 2; GS: 2, 4, 8, 16, 32 with a common ratio of 2.) 


2.) Find the sum of the first 34 terms of the arithmetic series: 24.5 + 21.5 + 18.5 + 15.5 +... 
3.) Find the sum of the first ten terms of the geometric series 2 + 4 + 8 + 16 +... 
4.) find the sum of the infinite geometric series 1/2 + 1/4 + 1/8 + 1/16 + ...
 

Previously Published Data 

1.) The indicated sum of terms of a sequence is called a ______________. 


2.) Find the sum of each, if it exists, and identify the type of series it is: 
  • 7 + 14 + 21 + 28 + ... + 98
  • 9 + 18 + 27 + 36 + ... + 126
  • d = -4, n = 9, a to the n = 15
  • 7 + 7 + 7 + 7 + ... to 9 terms
  • 8 + 4 + 2 + ... to 6 terms
  • 2 + (-6) + 18 + ... to 6 terms
  • 1 - 1/4 + 1/16 - .. 

  •