If you drop a ball from 15 feet and every time it bounces it returns to 80% of its previous height, how high does it bounce after it n-th bounce?
15 * .8^n
To find the height of the ball after the nth bounce, you can use the general formula:
height = initial height × (bounce factor)n
In this case, the initial height is 15 feet, and the bounce factor is 80%, which can be written as 0.8. So, the formula becomes:
height = 15 × 0.8n
For example, if you want to find the height after the 5th bounce (n = 5), you would plug in the value of n into the formula:
height = 15 × 0.85
To calculate this, you can first calculate 0.8 raised to the power of 5: 0.8 × 0.8 × 0.8 × 0.8 × 0.8. Then, multiply this result by 15 to find the height after the 5th bounce.