2004 AMC 12A Problems/Problem 10
Contents
[hide]Problem
The sum of consecutive integers is . What is their median?
Solutions
Solution 1
The median of a sequence is the middle number of the sequence when the sequence is arranged in order. Since the integers are consecutive, the median is also the mean, so the median is .
Solution 2
Notice that . So, our middle number (median) must be since all the other terms can be grouped to form an additional copies . Adding them would give .
Solution by franzliszt
See also
2004 AMC 12A (Problems • Answer Key • Resources) | |
Preceded by Problem 9 |
Followed by Problem 11 |
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