The sum of N consecutive integers:
If N is odd, then S would be a multiple of N. If N is even, then S would not be a multiple of N.
i don't understand this.....
It simply means that if you are adding N consecutive integers then their sum S will be a multiple of N if N=odd
i.e for example
let suppose a series of 1,2,3,4,5
total integers =5 (N=5)
sum of integers=15 (1+2+3+4+5)
then 15 is a multiple of 5 i.e N
this is the only for N= odd not for N= even