1971 AMC 12 Problem 29
Attempt Problem 29 of the 1971 AMC 12 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 1971 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
29.
Given the progression the least positive integer such that the product of the first terms exceeds is:
Answer: E
Small hint:
Add the exponents when multiplying the terms
Big hint:
Require , noting that equality is not enough
Solution:
The product is It exceeds exactly when For there is equality, while works.
Therefore, the correct answer is E.
Problem 29 in other years
- 1950 AMC 12
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