algebra

A ball is dropped from a height of 12 feet and returns to a height that is half the height from which it fell. the ball continues to bounce half the height of its previous bounce each time. How far will the ball have traveled vertically when it hits the ground for the fourth time?

24 feet, 33 feet, 12 feet, or 3 feet?

Can someone explain this for me?

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  1. 33 ft

    Add up every time it travels both up and down.
    12 + 6 + 6 + 3 + 3 + 1.5 + 1.5 = 33

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