2015 AMC 8 Problems/Problem 14
Which of the following integers cannot be written as the sum of four consecutive odd integers?
Contents
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 .
Solution 3
If the four consecutive odd integers are and , the sum is , and divided by gives . This means that must be even. The only integer that does not give an even integer when divided by is , 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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