convert the decimal 0.6 to a fraction by writing it as a infinite series.

I really have no idea how to do this can anyone please help me?

2 answers

what is the sum of
.30 + .15+ .075+.0375 + .01875+ .009375+ ...

Sum .30/2^n n=0,1,2,3,4,,,,,,,to inf
2.25