1996 AMC 8 Problem 16
Attempt Problem 16 of the 1996 AMC 8 below, then check your answer against the professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 1996 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
16.
What is the value of the following expression?
Answer: C
Small hint:
Group the terms in blocks of four starting from the first: and so on
Big hint:
Each block of four sums to check that the terms divide evenly into such blocks
Solution:
Grouping in blocks of four gives and so on.
There are such blocks, each equal to so the total is
Thus, the correct answer is C .
Problem 16 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
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