A ball is dropped from a height if 30 feet the ball bounces after each bounce the height attained by the ball is 60% of the previous height write an nth term formula to model the situation what is the maximum height attained by the ball after five bounces

A. 0.12ft

B. 6.40ft

C. 2.33ft

D. 1.40ft

This information will be modeled using the formula

thus we shall have:

Sn=ar^n

where:

a=first term

r=common ratio

from the information:

a=30 ft

r=60/100=3/5=0.6

therefore the formula will be

Sn=30 (0.6) ^n

where n is the number of terms:

thus when n=5 th sum will be:

S5=30 (0.6) ^5

S5=30 (0.6) ^5

S5=2.33 ft

Answer: 2.33 ft