2015 AMC 8 Problems/Problem 14
Which of the following integers cannot be written as the sum of four consecutive odd integers?
Solution 1
Let our numbers be
, where
is odd. Then our sum is
. The only answer choice that cannot be written as
, where
is odd, is
.
Solution 2
If the four consecutive odd integers are and
then the sum is
. All the integers are divisible by
except
, so the answer is
.
See Also
2015 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 13 |
Followed by Problem 15 | |
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