2016 AMC 8 Problem 19
Attempt Problem 19 of the 2016 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 2016 AMC 8 solutions, or check the answer key.
All problems are used with official legal permission of the Mathematical Association of America (MAA).
19.
The sum of consecutive even integers is What is the largest of these consecutive even integers?
Answer: E
Small hint:
For an odd number of consecutive terms, the average is the middle term.
Big hint:
There are even integers larger than the middle term.
Video solution:
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Written solution:
The average of these numbers is The largest number is even numbers away, which means that it equals
Thus, E is the correct answer.
Problem 19 in other years
- 1985 AMC 8
- 1986 AMC 8
- 1987 AMC 8
- 1988 AMC 8
- 1989 AMC 8
- 1990 AMC 8
- 1991 AMC 8
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