I am really confused with this problem. The question is :
If the sum of n consecutives is o, which is the following must be true.
1. n = even
2. n = odd
3. the average of n integer is 0.
The answer of 2 & 3 must be true, and I don't see why n= odd
In order for the average = 0
the sum of number has to be 0.
sum of numbers/number of numbers = average
is the sum = 0, then the average is 0
in order for that to happen, we need equal number of same number with opposite signs to cancel each other, for example(-3)+(-2)+(-1)+(0)+(1)+(2)+(3), i can also have (-4)+(-2)+0+(2)+(4)
then the sum being odd number or even number would be irrelevent, right?
Then, why the official answer should be 2 &3?
Thanks!!!
If the sum of n consecutives is o, which is the following must be true.
1. n = even
2. n = odd
3. the average of n integer is 0.
The answer of 2 & 3 must be true, and I don't see why n= odd
In order for the average = 0
the sum of number has to be 0.
sum of numbers/number of numbers = average
is the sum = 0, then the average is 0
in order for that to happen, we need equal number of same number with opposite signs to cancel each other, for example(-3)+(-2)+(-1)+(0)+(1)+(2)+(3), i can also have (-4)+(-2)+0+(2)+(4)
then the sum being odd number or even number would be irrelevent, right?
Then, why the official answer should be 2 &3?
Thanks!!!
