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Which of the following integers cannot be written as the sum of four consecutive odd integers? (2015 AMC 8 Problems, Question \#14) 
Overseas Competition->Knowledge Point->Calculation Modules->Sequences and Number Tables
Let our $4$ numbers be $n, n+2, n+4, n+6$, where $n$ is odd. Then our sum is $4 n+12$. The only answer choice that cannot be written as $4 n+12$, where $n$ is odd, is (D) 100 . 