math.com
Home    |    Teacher    |    Parents    |    Glossary    |    About Us
Homework Help Practice Ask An Expert Calculators & Tools Games Store
Email this page to a friend Email this page to a friend
Resources
· Cool Tools
· Formulas & Tables
· References
· Test Preparation
· Study Tips
· Wonders of Math
 
Search
Custom Search



Math Jobs


  
Geometric Summations
(Math | Calculus | Series | Geometric)

Summation Expansion Convergence Comments
 n-1
sum r n
n=0
= 1 + r + r 2 + r 3 + .. + r n-1
(first n terms)
for r not equals 1,
= ( 1 - r n ) / (1 - r)
for r = 1,
= nr
Finite Geometric Series
sum (n=0..inf) r n = 1 + r + r 2 + r 3 + ... for |r| < 1, converges to
1 / (1 - r)
for |r| >= 1
diverges
Infinite Geometric Series

See also the Geometric Series Convergence in the Convergence Tests.


  
 
  

 
Contact us | Advertising & Sponsorship | Partnership | Link to us

© 2000-2005 Math.com. All rights reserved.     Legal Notices.     Please read our Privacy Policy.