8=>4=>2=>1=>0.5=>0.25=>....

so, first three bounces will give you the distance of 8+4+2=12

after that you have series of form:
1+(1/2) +(1/4) + ...

...

8=>4=>2=>1=>0.5=>0.25=>....

so, first three bounces will give you the distance of 8+4+2=12

after that you have series of form:
1+(1/2) +(1/4) + ...

And it is equal to :
S(sum of n- element) = 2 -(1/2)^n.
for n-lagre, if you take limit, your sum will equal to 2 because (1/2)^n will be so small.
therefore, your final answer will be :
12+2= 14 meters

You never said how many times it bounces so i got 8 then 4 then 2 then 1 then 1/2 and so on so the total would be about 15 and 1/2!!