How would I go about solving this question?
The least integer of a set of consecutive integers is -25. If the sum of these integers is 26, how many integers are there in this set?
I have no idea how to solve this question. I guess I would start off with
-25 + -24 + -23 + -22 + -21, and continue but that would be impracticle, is there any way to use algebra or something to solve this type of question? Please help! Thankyou.
So in other words, if you go:
-25 - 24 -23....+23 + 24 +25, you are at zero. So all the numbers form there onwards have to sum to 26. And the next number in the series, as it happens, is 26.
So your sum has ALL the integers from -25 to 26.