SOLUTION: I'm not quite sure what this means... Find the sum of the infinite geometric series: .8+.08+.008 PLEASE help! thanks <3

Question 112572: I'm not quite sure what this means...
Find the sum of the infinite geometric series:
.8+.08+.008
PLEASE help! thanks <3
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
This infinite series is just another way of saying
... on and on forever and ever. In the
problem, they just pulled out each , so they got
... on and on forever
Believe it or not, ... =
You find it with a little trick.
First call the repeating decimal .
Then show what is
...
...
subtract from . Everything to the right of the
decimal points cancel out. I'm left with

answer
OK, what if you had ... on and on and on?
What's the value? Use the same trick a little differently
...
...
now subtract

answer
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