A ball is dropped from the top of a 1,000 foot building. The height of the ball is half its original height after each bounce. What will be the height of the ball after 12 bounces?

I think it would be either geometric series or sequence. Not sure.

Question

A ball is dropped from the top of a 1,000 foot building. The height of the ball is half its original height after each bounce. What will be the height of the ball after 12 bounces?

I think it would be either geometric series or sequence. Not sure.

campbell_st · Answer

this is a geometric series where the 1st term is 1000 and the common ratio r = 1/2

campbell_st · Answer

so a term in a geometric series is 

$$a_{n} = a_{1} \times r^{n - 1}$$

just substitute and evaluate to find the answer

anonymous · Answer

@campbell_st the formula I have is an=a1-a1 r^n/ 1-r