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.

Part 1: What will the height of the ball be after 12 bounces?

Part 2: Using complete sentences, explain the procedure taken to answer this question.

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. 

Part 1: What will the height of the ball be after 12 bounces?

Part 2: Using complete sentences, explain the procedure taken to answer this question.

mertsj · Answer

isn't this a geometric sequence?

mertsj · Answer

With 13 terms?

mertsj · Answer

$$a _{n}=a _{1}r ^{n-1}$$
$$a _{n}=1000(\frac{1}{2})^{12}$$
$$a _{n}=.24 ft$$