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

Algebra ->  Problems-with-consecutive-odd-even-integers -> 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       Log On


   

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) About Me  (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



This is odd and congruent to 0 (mod 3) so it must be an odd multiple of 3. All but D) works.