A basketball is dropped from a height and it rebounds. Each time the basketball rebounds to a height of 200 cenitmeters. What height will the ball bounce on the third rebounds?

looks like 200 cm

is there something missing from this problem?

If the basketball rebounds to a height of 200 centimeters after each bounce, we can determine the height of the ball on the third rebound by calculating the distance it traveled.

The ball reached a height of 200 centimeters after the first rebound. When it falls and rebounds, it covers a distance equal to twice the original height it dropped from. Therefore, after the first rebound, the ball reached a height of 200 + 200 = 400 centimeters.

On the second rebound, the ball again falls from 400 centimeters and rebounds to a height of 200 centimeters. So, the ball covers a distance equal to twice the height it dropped from. This means, on the second rebound, the ball reaches a height of 200 + 400 = <<200+400=600>>600 centimeters.

Finally, on the third rebound, the ball falls from 600 centimeters and rebounds to a height of 200 centimeters. By the same logic, it covers a distance equal to two times the height it dropped from, reaching a height of 200 + 600 = <<200+600=800>>800 centimeters.

Therefore, the height of the ball on the third rebound is 800 centimeters.

To find the height the basketball will bounce on the third rebound, we need to understand the pattern of the rebounds.

The problem tells us that the basketball rebounds to a height of 200 centimeters each time. Let's denote the initial height of the drop as "h" and the height of each rebound as "r".

On the first rebound, the basketball reaches a height of "r" (200 centimeters).
On the second rebound, the basketball reaches a height of "h + r" (initial height + rebound height), which is equal to "h + 200" centimeters.
On the third rebound, the basketball will reach a height of "(h + 200) + r" centimeters.

Since each rebound reaches a height of 200 centimeters, we can rewrite the expression as:
(h + 200) + 200

Simplifying, we get:
h + 400

Therefore, the basketball will bounce to a height of "h + 400" centimeters on the third rebound.