SOLUTION: what is the sum of a+ar+ar^2.....to infinity when r<1.

Algebra ->  Sequences-and-series -> SOLUTION: what is the sum of a+ar+ar^2.....to infinity when r<1.      Log On


   

Question 1100185: what is the sum of a+ar+ar^2.....to infinity when r<1.
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.
what is the sum of a+ar+ar^2.....to infinity when r<1.
~~~~~~~~~~~~~~~~ 

It is the sum of an infinite geometric progression.


Infinite geometric progression with the common ratio "r" converges  IF AND ONLY IF   |r| < 1.


Then its sum is  S = a%2F%281-r%29,  where  "a" is the first term.