1.a regulation basketball will bounce 54inches if dropped from 6ft. how high will it bounce on the 10th bounce?
2. assume that the ball rebounds the same percentage on each bounce. using the initial drop height and the height after the first bounce, find the common ratio, r. note: round r to three decimal places. use this formula: common ratio= height on first bounce// initial height.
3. state the general version of the recursive formula.
4. find the recursive formula for the height of your ball. remember that the 1st term, a1, is the height of the ball on the first bounce.
5. fill out the following table for your ball's height after the first three bounces. note: let n=bounce number. the height on the 1st bounce, n=1, is given.
bounce. n. height.
1st bounce. 1. basketball: 54inches
2nd bounce. 2
3rd bounce. 3
6. write the explicit formula for the geometric sequence of the height of the ball on the nth bounce. use the formula an=a1•r^n-1. remember that the 1st term, a1, is the height of the ball on the first bounce.
7. using the explicit formula, find the height of the ball on the 10th bounce.