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

Algebra.Com
Question 112706: Find the sum of the infinite geometric series:
.8+.08+.008
please help! thanks! <3

Answer by Fombitz(32388)   (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.

RELATED QUESTIONS

I'm not quite sure what this means... Find the sum of the infinite geometric series:... (answered by josmiceli)
Find the sum of the infinite geometric series... (answered by Fombitz)
Find the sum of the infinite geometric series... (answered by jim_thompson5910)
Please help me solve this equation. Find the sum of the infinite geometric series, if... (answered by AnlytcPhil)
The sum of the infinite geometric series -3+ 1 -1/3 +1/9 +...is? Thanks! (answered by MathLover1)
Please help Find the sum of the infinite geometric series 36+24+16+...if it exists. I... (answered by chiefman)
How do you find the sum of infinite geometric... (answered by stanbon)
Find the sum of the infinite geometric series: 1 + 3/5 + 9/25 + ..., if it exists.... (answered by psbhowmick)
Find the sum of the infinite geometric series.... (answered by Fombitz)