2015 AMC 8 Problem 14
Attempt Problem 14 of the 2015 AMC 8 below, then check your answer against the video solution and professionally curated solution from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2015 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
14.
Which of the following integers cannot be written as the sum of four consecutive odd integers?
Answer: D
Small hint:
Write the four consecutive odd integers algebraically.
Big hint:
Their sum is always a multiple of
Video solution:
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Written solution:
Let the four consecutive odd integers be and Their sum is
So any such sum must be a multiple of The only answer choice that is not divisible by is
Thus, D is the correct answer.
Problem 14 in other years
- 1985 AMC 8
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