SOLUTION: Find the sum of this infinite geometric series: 1000 – 200 + 40 – …

Algebra ->  Finance -> SOLUTION: Find the sum of this infinite geometric series: 1000 – 200 + 40 – …      Log On


   

Question 1086820: Find the sum of this infinite geometric series: 1000 – 200 + 40 – …
Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
The sum of an infinite geometric series with first term a and common ratio r is:
S = a/(1-r)
In this case r = -200/1000 = -1/5, and a = 1000
Thus S = 1000/(1+1/5) = 833 1/3