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

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


The formula for the sum of such progression 

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

is  S = .


In your case it is

S = .


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


RELATED QUESTIONS

Find the sum of the infinite geometric series: .8+.08+.008 please help! thanks!... (answered by Fombitz)
I'm not quite sure what this means... Find the sum of the infinite geometric series:... (answered by josmiceli)
Arrange the circles (represented by their equations in general form) in ascending order... (answered by ikleyn)
Find the sum of the infinite geometric series 1, 0.5, 0.25,... (answered by math_helper)
Solve using the principle of zero products (5t − 8)(t − 1) = 0 (answered by checkley77)
∞ Find the sum of the infinite... (answered by swincher4391)
Find the sum of the series. .2+.02+.008+... (answered by lynnlo)
what is the domain of the following function f(x) = sqrt(((x^3)/3) - x)... (answered by Fombitz)
Find the sum of the infinite geometric series... (answered by Fombitz)