Question

Determine the fraction that is equivalent to the limit of the sequence:
0.6,0.66,0.666,0.6666

Answer 1

do u need the sum of all these numbers...?

Answer 2

let
S= 0.6+0.66+0.666+0.6666.....
S=6/9*(0.9+0.99 +0.999 +0.9999 ...)
S=6/9*((1-0.1)+(1-0.01) +0.(1-0.001) +1-0.0001 ...)

Answer 3

can u do further

Answer 4

or is that just u need 2/3=.666666666666666.......

Answer 5

yeah the fraction is 2/3, but how do you get that?