1990 AMC 8 Problem 16
Attempt Problem 16 of the 1990 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 1990 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: D
Small hint:
Group the terms in pairs:
Big hint:
Each pair equals ; count the pairs and remember the leftover at the end
Solution:
Group the terms as Each parenthesized pair equals .
The first elements number , so there are pairs, giving , plus the leftover at the end for a total of .
Thus, the correct answer is D .
Problem 16 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
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- 1989 AMC 8
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