1952 AMC 12 Problem 30
Attempt Problem 30 of the 1952 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 1952 AMC 12 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
30.
When the sum of the first ten terms of an arithmetic progression is four times the sum of the first five terms, the ratio of the first term to the common difference is:
Answer: A
Small hint:
Write both partial sums in terms of the first term and common difference
Big hint:
Use and simplify
Solution:
The sum formula gives The equation becomes so Hence
Thus, the correct answer is A.
Problem 30 in other years
- 1950 AMC 12
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