A ball is thrown to the ground from a height of 12 meters. After it hits the ground, it bounces back half as high as it fell, then falls again, and so on, each time bouncing back half as high as it fell the previous time. Excuse me, when the ball reached the ground for the fifth time, how long has it traveled in total?
一个球被人从12米高的地方扔到地上．它落到地方后，反弹的高度是落下高度的一半，然后又再次落下，反复如此，每次反弹的高度都是前一次落下高度的一半．请问，这个球在它第5次到达地面的时候，它一共经过了多长的距离？
<gadget id="calculator">12 / 2</gadget>
<output>6</output>

<gadget id="calculator">2 ** 2</gadget>
<output>4</output>

<gadget id="calculator">12 / 4</gadget>
<output>3</output>

<gadget id="calculator">2 ** 3</gadget>
<output>8</output>

<gadget id="calculator">12 / 8</gadget>
<output>3/2 = around 1.5</output>

<gadget id="calculator">2 ** 4</gadget>
<output>16</output>

<gadget id="calculator">12 / 16</gadget>
<output>3/4 = around 0.75</output>

<gadget id="calculator">6 + 3 + (3/2) + (3/4)</gadget>
<output>45/4 = around 11.25</output>

<gadget id="calculator">(45/4) * 2</gadget>
<output>45/2 = around 22.5</output>

<gadget id="calculator">12 + (45/2)</gadget>
<output>69/2 = around 34.5</output>

<result>69/2 = around 34.5</result>