SOLUTION: Find the sum of the infinite geometric series: .8+.08+.008 please help! thanks! <3

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Question 112706: Find the sum of the infinite geometric series:
.8+.08+.008
please help! thanks! <3
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
If you look at the sum as it starts to accumulate, you'll notice a pattern.
.8
.88
.888
.8888
.88888
.888888
.8888888
.88888888
Look for a fraction that has a repeating pattern.
I know that 1/9=0.1111111....
So my sum looks like 8 times that much or 8/9.
sum%28+8%2A10%5E%28-n%29%2C+1%2C+infinity+%29=8%2F9