1985 AMC 8 Problem 9
Attempt Problem 9 of the 1985 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 1985 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
9.
What is the value of the product of the factors below?
Answer: A
Small hint:
Rewrite each factor:
Big hint:
Write the product as and watch consecutive terms cancel
Solution:
Each factor equals so the product is
Every numerator cancels the previous denominator, leaving
Thus, the correct answer is A .
Problem 9 in other years
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
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