2013 AMC 8 Problem 3
Attempt Problem 3 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).
3.
What is the value of
Answer: E
Small hint:
Pair the terms inside the parentheses.
Big hint:
Each pair has the same sum.
Video solution:
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Written solution:
Within the parentheses, pair consecutive terms:
Each pair has sum , and there are pairs, so the value inside the parentheses is . Multiplying by gives .
Thus, E is the correct answer.
Problem 3 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
- 1995 AMC 8
- 1996 AMC 8
- 1997 AMC 8
- 1998 AMC 8
- 1999 AMC 8
- 2000 AMC 8
- 2001 AMC 8
- 2002 AMC 8
- 2003 AMC 8
- 2004 AMC 8
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- 2006 AMC 8
- 2007 AMC 8
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- 2012 AMC 8
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