say you drop a ball 25 meters above the ground the ball bounces 75% of the previous height with each bounce. Find the total number of metres the ball travels between the time it is dropped and the 10th bounce

Question

anonymous · Answer

leave the first 25 alone, add that in at the end
goes up $.75\times25$and down $.75\times 25$for a total of $50\times .75$ 
then up and down $50\times .75^2$ etc  add 
$$50\times .75+50\times .75^2+50\times 275^3+...+50\times .75^9$$