Question

The photograph below shows a bouncing ball in front of an illuminated grid. The heights of the ball's bounces make a geometric sequence. What will the height of the next bounce be?

A. 0.28812 m
B. 0.2352 m
C. 0.1764 m
D. 0.26724 m

Answer 1

Hello there.

The photograph below shows a bouncing ball in front of an illuminated grid. The heights of the ball's bounces make a geometric sequence. What will the height of the next bounce be?

A. 0.28812 m

Answer 2

The sequence would be written as:

1.2, 0.84, 0.588, 0.4116

If this is a geometric sequence, then they should have a common ratio. We determine as follows:

0.4116 / 0.588 = 0.7
0.588 / 0.84 = 0.7
0.84 / 1.2 = 0.7

r = 0.7

an = a1(r^(n-1))
an = 1.2 (0.7^(5-1))
an = 0.28812 <--------option A