SOLUTION: FInd the sum of each infinte geomertric series if it exists. 10 + 1 + 0.1 + 0.01 +... And can you please tell me how to did it. I am struggling with it.

Algebra ->  Sequences-and-series -> SOLUTION: FInd the sum of each infinte geomertric series if it exists. 10 + 1 + 0.1 + 0.01 +... And can you please tell me how to did it. I am struggling with it.      Log On


   

Question 23805: FInd the sum of each infinte geomertric series if it exists.
10 + 1 + 0.1 + 0.01 +...

And can you please tell me how to did it. I am struggling with it.
Answer by Paul(988) About Me  (Show Source):
You can put this solution on YOUR website!
Common ratio = 1%2F10
S(infinte) = 10%2F1-1%2F10
S(infinte) = 10%2F10%2F10-1%2F10
S(infinte) = 10%2F9%2F10
S(infinte) = 10%2F1 x 10%2F9

Hence, the infinte series is 100%2F9
Paul.