A super bouncy ball is thrown 25 m into the air the ball falls rebounds to 70% of the height of the previous balance and falls again. If the ball continues to rebound and fall in this manner, find the total distance the ball has a travel after it hits the ground the fifth time. Round your answer to 2 decimals places.
ARGENT ‼️‼️‼️‼️‼️‼️
Consider the geometric sequence with
a = 25
r = 0.7
This is the sequence of heights. You want round trips, or
2*S5 = 2 * a (1-r^5)/(1-r)
so plug in your numbers
and ARGENT! means SILVER!