What is the sum of the integers from -2007 through +2009, inclusive?
2 Answers
4017
Explanation:
By the commutative property of addition, we can rearrange the additives in any order we want and still get the same result
By the associative property of addition, we can change the order of addition, and still get the same result
Note that if we add those enclosed in parenthesis, we will get 0,
PS: Please note that we were only able to apply the commutative property and the associative property in such a scale since we are dealing solely with addition. If other operations were involved, we will need to follow PEMDAS
The series formed by integers here is an AP series having
first term
and last term
The total number of terms
So Sum