2013 AMC 8 Problem 9
Attempt Problem 9 of the 2013 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2013 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
9.
The Incredible Hulk can double the distance he jumps with each succeeding jump. If his first jump is meter, the second jump is meters, the third jump is meters, and so on, then on which jump will he first be able to jump more than kilometer?
th
th
th
th
th
Answer: C
Small hint:
The th jump has length .
Big hint:
Compare powers of with .
Video solution:
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Written solution:
On the th jump, the Hulk jumps meters. We need the smallest for which .
Since and , the first jump longer than meters has , so .
Thus, C is the correct answer.
Problem 9 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
- 1992 AMC 8
- 1993 AMC 8
- 1994 AMC 8
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- 1998 AMC 8
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