1. The problem statement, all variables and given/known data When dropped, an elastic ball bounces back up to a height three-quarters of that from wich it fell. If the ball is dropped from a height 2 m and allowed to bounce up and down indefinitely, what is the total distance it travels before coming to rest? 2. Relevant equations I think I have to use Partial sums of geometric series. If r is not equal to 1 then [tex] S_n = a + ar + ar^2 + ... ar^n-1 = a(1-r^n)/1-r [/tex] 3. The attempt at a solution It's really easy to understand the question, but setting it up mathematecally is other story. I tried to do 2 + 3/2 + 9/8 + 27/32 + 81/128 + ... + 3n/4n where a_1 = 2 and a_2 = 3/2 but this is not leading me to an final answer. Trying to use the equation above saying a = 2 and r = 3/4 I get the final answer 8 m But the answer is 14 m. What is the correct setup?