SOLUTION: If m represents the sum of 3 consecutive odd integers, which of the following cannot be the value of m?
A) 3, B) 15, C) 21, D) 29, E) 45
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Question 624639: If m represents the sum of 3 consecutive odd integers, which of the following cannot be the value of m?
A) 3, B) 15, C) 21, D) 29, E) 45
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Let x, x+2, x+4 be the three odd integers, in which their sum is
 + (x+4) = 3x+6)
This is odd and congruent to 0 (mod 3) so it must be an odd multiple of 3. All but D) works.
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