Problem:
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?
Answer Choices:
A. 9th
B. 10th
C. 11th
D. 12th
E. 13th
Solution:
​Jump123…1011​Distance (meters)1=202=214=22…512=291024=210​​​
Because 1024 meters is greater than 1 kilometer, he first exceeds 1 kilometer on the 11th jump.
Answer: C​.
The problems on this page are the property of the MAA's American Mathematics Competitions