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.

Answer 1

isn't this a geometric sequence?

Answer 2

With 13 terms?

Answer 3

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