Explanation:
if the original mass is let's say an unknown mass of x milli grams...by half life period it will have reduced by half which will be
[tex] \frac{x}{2} milli \: grams[/tex]
so as the next 6 hours go by to make 12 hours the remaining mass will have reduced again by a half
[tex] \frac{x}{4} milli \: grams[/tex]
this continues for the next 6 hours to make 18 hours
[tex] \frac{x}{8} milli \: grams[/tex]
I hope this is helpful