MathDB
2013/8/9/Distance jumping

Source:

November 27, 2013
AMC

Problem Statement

The Incredible Hulk can double the distance he jumps with each succeeding jump. If his first jump is 1 meter, the second jump is 2 meters, the third jump is 4 meters, and so on, then on which jump will he first be able to jump more than 1 kilometer?
<spanclass=′latex−bold′>(A)</span> 9th<spanclass=′latex−bold′>(B)</span> 10th<spanclass=′latex−bold′>(C)</span> 11th<spanclass=′latex−bold′>(D)</span> 12th<spanclass=′latex−bold′>(E)</span> 13th<span class='latex-bold'>(A)</span>\ 9^\text{th} \qquad <span class='latex-bold'>(B)</span>\ 10^\text{th} \qquad <span class='latex-bold'>(C)</span>\ 11^\text{th} \qquad <span class='latex-bold'>(D)</span>\ 12^\text{th} \qquad <span class='latex-bold'>(E)</span>\ 13^\text{th}
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