Find the recursive formula for the height of your

4. Find the recursive formula for the height of your ball. Remember that the 1st term, a
1
, is
the height of the ball on the first bounce. ( 2 points )
1
5. Fill out the following table for your ball's height after the first 3 bounces. Note: Let n
bounce number. The height on the 1st bounce, n = 1, is given. ( 2 points:
Bounce n Height
First bounce 1 Basketball: 54 inches
Tennis ball: 58 inches
Table-tennis ball: 26 cm
Second bounce 2
=
)

Third bounce 3 Basketball: 30.375 round 30.38
6. Write the explicit formula for the geometric sequence of the height of the ball on the n th
bounce. Use the formula a
n
= a
1
• r
n – 1
. Remember that the 1st term, a
1
, is the height of the
ball on the first bounce. (2 points)
Solving the Problem
7. Using the explicit formula, find the height of the ball on the 10th bounce. ( 4 points: 2
points for showing your work, 2 points for the answer)
9
=
Taking Time to Reflect