If the sum of 7 consecutive integers is x, which of the must be true?
I. x is even
II. x is odd
III. x is a multiple of 7  Choose the correct choice from the following options:
A) I only B) II only C) III only D) I and III E) II and III
sum of 3 consecutive integers   = (n) + (n+1) + (n+2) ++ (n+3) + (n+4) + (n+5)+(n+6)   =7n+21   = odd + odd = even   = 7(n+3) = divisible by 7   Hence, x is even and divisible by 7.   Answer: I and III
<result>D</result>
If the sum of 7 consecutive integers is x, which of the must be true?
I. x is even
II. x is odd
III. x is a multiple of 7