SOLUTION: Determine whether the infinite geometric series has a limit, if a limit exists, find it. 17+0.85+000425+... --- I got r= 0.85/17 =0/1=0.05 I am having trouble findin

Algebra ->  Sequences-and-series -> SOLUTION: Determine whether the infinite geometric series has a limit, if a limit exists, find it. 17+0.85+000425+... --- I got r= 0.85/17 =0/1=0.05 I am having trouble findin      Log On


   

Question 820069: Determine whether the infinite geometric series has a limit, if a limit exists, find it.
17+0.85+000425+...


---
I got r= 0.85/17 =0/1=0.05
I am having trouble finding the limit.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,



17+0.85+0.0425+...

an = ar(n – 1)  r = .85/17 = .05,  r < 1

sum%28+a%5Bi%5D%2C+i=1%2C+infinity+%29 = a%5B1%5D%2F%281-r%29

sum%28+a%5Bi%5D%2C+i=1%2C+infinity+%29 = 17%2F%28.95%29+=+highlight%2817.8947%29