Question

A ball bounces back to half of its previous height each time. If it is dropped from 256 meters, what is the height after the 6th bounce?

• A. 16 m
• B. 8 m
• C. 4 m
• D. 2 m

Hint:

For repeated halving, multiply by $(1/2)^n$ where $n$ is the number of reductions.

Answer 1

The Correct Option is C

Concept: Repeated halving follows geometric progression. Explanation: Each bounce halves the height: \[ Height = 256 \times \left(\frac{1}{2}\right)^6 \] \[ = 256 \div 64 = 4 \text{ m} \]