SOLUTION: Find the sum of the infinite series: 8 − 0.8 + 0.08 − 0.008 + …

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Question 1084074: Find the sum of the infinite series: 8 − 0.8 + 0.08 − 0.008 + …
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
.
Infinite geometric progression with the first term 8 and the common ratio -1%2F10.


The formula for the sum of such progression 

S = a + ar + ar^2 + ar^ + . . . 

is  S = a%2F%281-r%29.


In your case it is

S = 8%2F+%281-%28-1%2F10%29%29.


Now turn your brain ON and calculate it on your own.