the number 101 can be written as the sum of 101 consecutive integers. What are the greatest and the smallest of those numbers?
To solve this, we need to first create an equation.
The equation will be n+(n+1)+(n+2)...+(n+99)+(n+100)=101
Combining like terms, we get 101n+5050=101
Isolate the n:
So, the smallest number is -49, and the largest is 51.