Which of the following must be true.?
1) The sum of N consecutive integers is always divisible by N
2) If N is even then the sum of N consecutive integers is divisible by N.
3) If N is odd then the sum of N consecutive integers is divisible by N.
4) The Product of K consecutive integers is divisible by K.
5) The product of K consecutive integers is divisible by K!
Choices
A) 1,4,5	B) 3,4,5	C) 4 and 5	D) 1,2,3,4	E) only 4
Sum=n/2[2a+(n-1)*1] sum is always divisible by n irrespective of n being even or odd.   Product=a(a+1)(a+2)...(a+k-1) = (a+k-1)!/(a-1)! Product of k consecutive integers contains k terms with at least one multiple of k   Answer: 1,2,3,4 = 1,2,3,4   ANSWER:1,2,3,4
<result>D</result>
Which of the following must be true.?
1) The sum of N consecutive integers is always divisible by N
2) If N is even then the sum of N consecutive integers is divisible by N.
3) If N is odd then the sum of N consecutive integers is divisible by N.
4) The Product of K consecutive integers is divisible by K.
5) The product of K consecutive integers is divisible by K!